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Finding the Fourth Proportional to 497,409.30, 745,931.70 and 160,538.40

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Solution

The fourth proportional to 497,409.30, 745,931.70 and 160,538.40 is: 240,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,409.30 : 745,931.70 = 160,538.40 : x
  2. Step 2: Convert to fraction form
    497,409.30/745,931.70 = 160,538.40/x
  3. Step 3: Cross multiply
    497,409.30x = 745,931.70 × 160,538.40
  4. Step 4: Simplify right side
    497,409.30x = 119,750,681,627.28
  5. Step 5: Solve for x
    x = 119,750,681,627.28/497,409.30
  6. Step 6: Final answer
    x = 240,748.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.