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Finding the Fourth Proportional to 530,340.71, 731,856.14 and 288,618.08

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Solution

The fourth proportional to 530,340.71, 731,856.14 and 288,618.08 is: 398,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,340.71 : 731,856.14 = 288,618.08 : x
  2. Step 2: Convert to fraction form
    530,340.71/731,856.14 = 288,618.08/x
  3. Step 3: Cross multiply
    530,340.71x = 731,856.14 × 288,618.08
  4. Step 4: Simplify right side
    530,340.71x = 211,226,908,860.64
  5. Step 5: Solve for x
    x = 211,226,908,860.64/530,340.71
  6. Step 6: Final answer
    x = 398,285.30

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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.