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Finding the Fourth Proportional to 530,191.80, 731,642.79 and 288,475.32

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Solution

The fourth proportional to 530,191.80, 731,642.79 and 288,475.32 is: 398,084.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,191.80 : 731,642.79 = 288,475.32 : x
  2. Step 2: Convert to fraction form
    530,191.80/731,642.79 = 288,475.32/x
  3. Step 3: Cross multiply
    530,191.80x = 731,642.79 × 288,475.32
  4. Step 4: Simplify right side
    530,191.80x = 211,060,887,970.94
  5. Step 5: Solve for x
    x = 211,060,887,970.94/530,191.80
  6. Step 6: Final answer
    x = 398,084.03

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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.