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Finding the Fourth Proportional to 808,982,900.65, 1,116,078,742.98 and 469,833,640.62

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Solution

The fourth proportional to 808,982,900.65, 1,116,078,742.98 and 469,833,640.62 is: 648,185,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,982,900.65 : 1,116,078,742.98 = 469,833,640.62 : x
  2. Step 2: Convert to fraction form
    808,982,900.65/1,116,078,742.98 = 469,833,640.62/x
  3. Step 3: Cross multiply
    808,982,900.65x = 1,116,078,742.98 × 469,833,640.62
  4. Step 4: Simplify right side
    808,982,900.65x = 524,371,339,032,886,656
  5. Step 5: Solve for x
    x = 524,371,339,032,886,656/808,982,900.65
  6. Step 6: Final answer
    x = 648,185,936.45

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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.