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Finding the Fourth Proportional to 530,206.64, 731,688.32 and 288,491

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Solution

The fourth proportional to 530,206.64, 731,688.32 and 288,491 is: 398,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,206.64 : 731,688.32 = 288,491 : x
  2. Step 2: Convert to fraction form
    530,206.64/731,688.32 = 288,491/x
  3. Step 3: Cross multiply
    530,206.64x = 731,688.32 × 288,491
  4. Step 4: Simplify right side
    530,206.64x = 211,085,495,125.12
  5. Step 5: Solve for x
    x = 211,085,495,125.12/530,206.64
  6. Step 6: Final answer
    x = 398,119.30

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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.