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Finding the Fourth Proportional to 530,645.64, 732,304.92 and 288,938.40

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Solution

The fourth proportional to 530,645.64, 732,304.92 and 288,938.40 is: 398,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,645.64 : 732,304.92 = 288,938.40 : x
  2. Step 2: Convert to fraction form
    530,645.64/732,304.92 = 288,938.40/x
  3. Step 3: Cross multiply
    530,645.64x = 732,304.92 × 288,938.40
  4. Step 4: Simplify right side
    530,645.64x = 211,591,011,896.93
  5. Step 5: Solve for x
    x = 211,591,011,896.93/530,645.64
  6. Step 6: Final answer
    x = 398,742.58

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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.