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Finding the Fourth Proportional to 287,712,978.20, 431,569,467.30 and 263,904,421.40

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Solution

The fourth proportional to 287,712,978.20, 431,569,467.30 and 263,904,421.40 is: 395,856,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712,978.20 : 431,569,467.30 = 263,904,421.40 : x
  2. Step 2: Convert to fraction form
    287,712,978.20/431,569,467.30 = 263,904,421.40/x
  3. Step 3: Cross multiply
    287,712,978.20x = 431,569,467.30 × 263,904,421.40
  4. Step 4: Simplify right side
    287,712,978.20x = 113,893,090,561,712,720
  5. Step 5: Solve for x
    x = 113,893,090,561,712,720/287,712,978.20
  6. Step 6: Final answer
    x = 395,856,632.10

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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.