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Finding the Fourth Proportional to 287,686.12, 431,528.57 and 77,324.06

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Solution

The fourth proportional to 287,686.12, 431,528.57 and 77,324.06 is: 115,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,686.12 : 431,528.57 = 77,324.06 : x
  2. Step 2: Convert to fraction form
    287,686.12/431,528.57 = 77,324.06/x
  3. Step 3: Cross multiply
    287,686.12x = 431,528.57 × 77,324.06
  4. Step 4: Simplify right side
    287,686.12x = 33,367,541,038.39
  5. Step 5: Solve for x
    x = 33,367,541,038.39/287,686.12
  6. Step 6: Final answer
    x = 115,985.93

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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.