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Finding the Fourth Proportional to 257,445,658.40, 386,168,487.60 and 257,445,658.40

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Solution

The fourth proportional to 257,445,658.40, 386,168,487.60 and 257,445,658.40 is: 386,168,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,445,658.40 : 386,168,487.60 = 257,445,658.40 : x
  2. Step 2: Convert to fraction form
    257,445,658.40/386,168,487.60 = 257,445,658.40/x
  3. Step 3: Cross multiply
    257,445,658.40x = 386,168,487.60 × 257,445,658.40
  4. Step 4: Simplify right side
    257,445,658.40x = 99,417,400,543,514,240
  5. Step 5: Solve for x
    x = 99,417,400,543,514,240/257,445,658.40
  6. Step 6: Final answer
    x = 386,168,487.60

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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.