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Finding the Fourth Proportional to 418,172.63, 577,080.48 and 257,132.90

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Solution

The fourth proportional to 418,172.63, 577,080.48 and 257,132.90 is: 354,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,172.63 : 577,080.48 = 257,132.90 : x
  2. Step 2: Convert to fraction form
    418,172.63/577,080.48 = 257,132.90/x
  3. Step 3: Cross multiply
    418,172.63x = 577,080.48 × 257,132.90
  4. Step 4: Simplify right side
    418,172.63x = 148,386,377,355.79
  5. Step 5: Solve for x
    x = 148,386,377,355.79/418,172.63
  6. Step 6: Final answer
    x = 354,844.79

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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.