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Finding the Fourth Proportional to 287,978.22, 431,938.17 and 77,637.42

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Solution

The fourth proportional to 287,978.22, 431,938.17 and 77,637.42 is: 116,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,978.22 : 431,938.17 = 77,637.42 : x
  2. Step 2: Convert to fraction form
    287,978.22/431,938.17 = 77,637.42/x
  3. Step 3: Cross multiply
    287,978.22x = 431,938.17 × 77,637.42
  4. Step 4: Simplify right side
    287,978.22x = 33,534,564,730.13
  5. Step 5: Solve for x
    x = 33,534,564,730.13/287,978.22
  6. Step 6: Final answer
    x = 116,448.27

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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.