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Finding the Fourth Proportional to 649,452.60, 975,345.30 and 472,159.80

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Solution

The fourth proportional to 649,452.60, 975,345.30 and 472,159.80 is: 709,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,452.60 : 975,345.30 = 472,159.80 : x
  2. Step 2: Convert to fraction form
    649,452.60/975,345.30 = 472,159.80/x
  3. Step 3: Cross multiply
    649,452.60x = 975,345.30 × 472,159.80
  4. Step 4: Simplify right side
    649,452.60x = 460,518,841,778.94
  5. Step 5: Solve for x
    x = 460,518,841,778.94/649,452.60
  6. Step 6: Final answer
    x = 709,087.69

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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.