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Finding the Fourth Proportional to 530,348.50, 731,866.86 and 288,625.84

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Solution

The fourth proportional to 530,348.50, 731,866.86 and 288,625.84 is: 398,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,348.50 : 731,866.86 = 288,625.84 : x
  2. Step 2: Convert to fraction form
    530,348.50/731,866.86 = 288,625.84/x
  3. Step 3: Cross multiply
    530,348.50x = 731,866.86 × 288,625.84
  4. Step 4: Simplify right side
    530,348.50x = 211,235,687,235.66
  5. Step 5: Solve for x
    x = 211,235,687,235.66/530,348.50
  6. Step 6: Final answer
    x = 398,296.00

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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.