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Finding the Fourth Proportional to 891,682,547, 1,336,993,958.24 and 339,025,429.92

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Solution

The fourth proportional to 891,682,547, 1,336,993,958.24 and 339,025,429.92 is: 508,336,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,682,547 : 1,336,993,958.24 = 339,025,429.92 : x
  2. Step 2: Convert to fraction form
    891,682,547/1,336,993,958.24 = 339,025,429.92/x
  3. Step 3: Cross multiply
    891,682,547x = 1,336,993,958.24 × 339,025,429.92
  4. Step 4: Simplify right side
    891,682,547x = 453,274,951,492,758,528
  5. Step 5: Solve for x
    x = 453,274,951,492,758,528/891,682,547
  6. Step 6: Final answer
    x = 508,336,686.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.