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Finding the Fourth Proportional to 488,429.60, 674,053.76 and 284,447.60

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Solution

The fourth proportional to 488,429.60, 674,053.76 and 284,447.60 is: 392,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,429.60 : 674,053.76 = 284,447.60 : x
  2. Step 2: Convert to fraction form
    488,429.60/674,053.76 = 284,447.60/x
  3. Step 3: Cross multiply
    488,429.60x = 674,053.76 × 284,447.60
  4. Step 4: Simplify right side
    488,429.60x = 191,732,972,880.74
  5. Step 5: Solve for x
    x = 191,732,972,880.74/488,429.60
  6. Step 6: Final answer
    x = 392,549.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.