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Finding the Fourth Proportional to 530,123.12, 731,824 and 326,348.71

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Solution

The fourth proportional to 530,123.12, 731,824 and 326,348.71 is: 450,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,123.12 : 731,824 = 326,348.71 : x
  2. Step 2: Convert to fraction form
    530,123.12/731,824 = 326,348.71/x
  3. Step 3: Cross multiply
    530,123.12x = 731,824 × 326,348.71
  4. Step 4: Simplify right side
    530,123.12x = 238,829,818,347.04
  5. Step 5: Solve for x
    x = 238,829,818,347.04/530,123.12
  6. Step 6: Final answer
    x = 450,517.64

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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.