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Finding the Fourth Proportional to 284,159.59, 392,138.33 and 156,835.18

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Solution

The fourth proportional to 284,159.59, 392,138.33 and 156,835.18 is: 216,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,159.59 : 392,138.33 = 156,835.18 : x
  2. Step 2: Convert to fraction form
    284,159.59/392,138.33 = 156,835.18/x
  3. Step 3: Cross multiply
    284,159.59x = 392,138.33 × 156,835.18
  4. Step 4: Simplify right side
    284,159.59x = 61,501,084,982.19
  5. Step 5: Solve for x
    x = 61,501,084,982.19/284,159.59
  6. Step 6: Final answer
    x = 216,431.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.