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Finding the Fourth Proportional to 476,961.60, 715,442.40 and 288,004.80

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Solution

The fourth proportional to 476,961.60, 715,442.40 and 288,004.80 is: 432,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,961.60 : 715,442.40 = 288,004.80 : x
  2. Step 2: Convert to fraction form
    476,961.60/715,442.40 = 288,004.80/x
  3. Step 3: Cross multiply
    476,961.60x = 715,442.40 × 288,004.80
  4. Step 4: Simplify right side
    476,961.60x = 206,050,845,323.52
  5. Step 5: Solve for x
    x = 206,050,845,323.52/476,961.60
  6. Step 6: Final answer
    x = 432,007.20

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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.