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Finding the Fourth Proportional to 307,841.80, 460,712.40 and 257,978.20

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Solution

The fourth proportional to 307,841.80, 460,712.40 and 257,978.20 is: 386,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,841.80 : 460,712.40 = 257,978.20 : x
  2. Step 2: Convert to fraction form
    307,841.80/460,712.40 = 257,978.20/x
  3. Step 3: Cross multiply
    307,841.80x = 460,712.40 × 257,978.20
  4. Step 4: Simplify right side
    307,841.80x = 118,853,755,669.68
  5. Step 5: Solve for x
    x = 118,853,755,669.68/307,841.80
  6. Step 6: Final answer
    x = 386,087.13

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1.5x scale

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.