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Finding the Fourth Proportional to 287,952.57, 431,996.90 and 130,180.77

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Solution

The fourth proportional to 287,952.57, 431,996.90 and 130,180.77 is: 195,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,952.57 : 431,996.90 = 130,180.77 : x
  2. Step 2: Convert to fraction form
    287,952.57/431,996.90 = 130,180.77/x
  3. Step 3: Cross multiply
    287,952.57x = 431,996.90 × 130,180.77
  4. Step 4: Simplify right side
    287,952.57x = 56,237,688,428.71
  5. Step 5: Solve for x
    x = 56,237,688,428.71/287,952.57
  6. Step 6: Final answer
    x = 195,301.92

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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.