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Finding the Fourth Proportional to 430,913.60, 647,061.60 and 291,291.20

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Solution

The fourth proportional to 430,913.60, 647,061.60 and 291,291.20 is: 437,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,913.60 : 647,061.60 = 291,291.20 : x
  2. Step 2: Convert to fraction form
    430,913.60/647,061.60 = 291,291.20/x
  3. Step 3: Cross multiply
    430,913.60x = 647,061.60 × 291,291.20
  4. Step 4: Simplify right side
    430,913.60x = 188,483,349,937.92
  5. Step 5: Solve for x
    x = 188,483,349,937.92/430,913.60
  6. Step 6: Final answer
    x = 437,404.04

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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.