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Finding the Fourth Proportional to 1,185,849,856.05, 1,636,472,956.49 and 657,247,969.65

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Solution

The fourth proportional to 1,185,849,856.05, 1,636,472,956.49 and 657,247,969.65 is: 907,002,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,849,856.05 : 1,636,472,956.49 = 657,247,969.65 : x
  2. Step 2: Convert to fraction form
    1,185,849,856.05/1,636,472,956.49 = 657,247,969.65/x
  3. Step 3: Cross multiply
    1,185,849,856.05x = 1,636,472,956.49 × 657,247,969.65
  4. Step 4: Simplify right side
    1,185,849,856.05x = 1,075,568,528,036,898,944
  5. Step 5: Solve for x
    x = 1,075,568,528,036,898,944/1,185,849,856.05
  6. Step 6: Final answer
    x = 907,002,284.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.