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Finding the Fourth Proportional to 284,167.50, 392,123.22 and 156,834.89

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Solution

The fourth proportional to 284,167.50, 392,123.22 and 156,834.89 is: 216,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,167.50 : 392,123.22 = 156,834.89 : x
  2. Step 2: Convert to fraction form
    284,167.50/392,123.22 = 156,834.89/x
  3. Step 3: Cross multiply
    284,167.50x = 392,123.22 × 156,834.89
  4. Step 4: Simplify right side
    284,167.50x = 61,498,602,075.15
  5. Step 5: Solve for x
    x = 61,498,602,075.15/284,167.50
  6. Step 6: Final answer
    x = 216,416.73

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1.5x scale

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.