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Finding the Fourth Proportional to 257,414,643.60, 386,121,965.40 and 257,414,643.60

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Solution

The fourth proportional to 257,414,643.60, 386,121,965.40 and 257,414,643.60 is: 386,121,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,414,643.60 : 386,121,965.40 = 257,414,643.60 : x
  2. Step 2: Convert to fraction form
    257,414,643.60/386,121,965.40 = 257,414,643.60/x
  3. Step 3: Cross multiply
    257,414,643.60x = 386,121,965.40 × 257,414,643.60
  4. Step 4: Simplify right side
    257,414,643.60x = 99,393,448,109,572,528
  5. Step 5: Solve for x
    x = 99,393,448,109,572,528/257,414,643.60
  6. Step 6: Final answer
    x = 386,121,965.40

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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.