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Finding the Fourth Proportional to 649,454.60, 972,213.60 and 472,307.60

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Solution

The fourth proportional to 649,454.60, 972,213.60 and 472,307.60 is: 707,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,454.60 : 972,213.60 = 472,307.60 : x
  2. Step 2: Convert to fraction form
    649,454.60/972,213.60 = 472,307.60/x
  3. Step 3: Cross multiply
    649,454.60x = 972,213.60 × 472,307.60
  4. Step 4: Simplify right side
    649,454.60x = 459,183,872,103.36
  5. Step 5: Solve for x
    x = 459,183,872,103.36/649,454.60
  6. Step 6: Final answer
    x = 707,029.98

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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.