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Finding the Fourth Proportional to 638,409.60, 956,836.80 and 283,046.40

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Solution

The fourth proportional to 638,409.60, 956,836.80 and 283,046.40 is: 424,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,409.60 : 956,836.80 = 283,046.40 : x
  2. Step 2: Convert to fraction form
    638,409.60/956,836.80 = 283,046.40/x
  3. Step 3: Cross multiply
    638,409.60x = 956,836.80 × 283,046.40
  4. Step 4: Simplify right side
    638,409.60x = 270,829,211,627.52
  5. Step 5: Solve for x
    x = 270,829,211,627.52/638,409.60
  6. Step 6: Final answer
    x = 424,224.84

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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.