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Finding the Fourth Proportional to 257,438,465.10, 386,157,697.65 and 257,438,465.10

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Solution

The fourth proportional to 257,438,465.10, 386,157,697.65 and 257,438,465.10 is: 386,157,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,438,465.10 : 386,157,697.65 = 257,438,465.10 : x
  2. Step 2: Convert to fraction form
    257,438,465.10/386,157,697.65 = 257,438,465.10/x
  3. Step 3: Cross multiply
    257,438,465.10x = 386,157,697.65 × 257,438,465.10
  4. Step 4: Simplify right side
    257,438,465.10x = 99,411,844,969,565,872
  5. Step 5: Solve for x
    x = 99,411,844,969,565,872/257,438,465.10
  6. Step 6: Final answer
    x = 386,157,697.65

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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.