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Finding the Fourth Proportional to 461,461.60, 636,815.94 and 257,500

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Solution

The fourth proportional to 461,461.60, 636,815.94 and 257,500 is: 355,349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,461.60 : 636,815.94 = 257,500 : x
  2. Step 2: Convert to fraction form
    461,461.60/636,815.94 = 257,500/x
  3. Step 3: Cross multiply
    461,461.60x = 636,815.94 × 257,500
  4. Step 4: Simplify right side
    461,461.60x = 163,980,104,550
  5. Step 5: Solve for x
    x = 163,980,104,550/461,461.60
  6. Step 6: Final answer
    x = 355,349.40

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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.