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Finding the Fourth Proportional to 287,712,930.40, 431,569,395.60 and 285,697,391.20

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Solution

The fourth proportional to 287,712,930.40, 431,569,395.60 and 285,697,391.20 is: 428,546,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712,930.40 : 431,569,395.60 = 285,697,391.20 : x
  2. Step 2: Convert to fraction form
    287,712,930.40/431,569,395.60 = 285,697,391.20/x
  3. Step 3: Cross multiply
    287,712,930.40x = 431,569,395.60 × 285,697,391.20
  4. Step 4: Simplify right side
    287,712,930.40x = 123,298,250,444,680,768
  5. Step 5: Solve for x
    x = 123,298,250,444,680,768/287,712,930.40
  6. Step 6: Final answer
    x = 428,546,086.80

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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.