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Finding the Fourth Proportional to 472,640.20, 709,478.70 and 295,347.40

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Solution

The fourth proportional to 472,640.20, 709,478.70 and 295,347.40 is: 443,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,640.20 : 709,478.70 = 295,347.40 : x
  2. Step 2: Convert to fraction form
    472,640.20/709,478.70 = 295,347.40/x
  3. Step 3: Cross multiply
    472,640.20x = 709,478.70 × 295,347.40
  4. Step 4: Simplify right side
    472,640.20x = 209,542,689,400.38
  5. Step 5: Solve for x
    x = 209,542,689,400.38/472,640.20
  6. Step 6: Final answer
    x = 443,345.04

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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.