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Finding the Fourth Proportional to 257,402,023.10, 386,103,034.65 and 257,402,023.10

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Solution

The fourth proportional to 257,402,023.10, 386,103,034.65 and 257,402,023.10 is: 386,103,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,402,023.10 : 386,103,034.65 = 257,402,023.10 : x
  2. Step 2: Convert to fraction form
    257,402,023.10/386,103,034.65 = 257,402,023.10/x
  3. Step 3: Cross multiply
    257,402,023.10x = 386,103,034.65 × 257,402,023.10
  4. Step 4: Simplify right side
    257,402,023.10x = 99,383,702,243,959,392
  5. Step 5: Solve for x
    x = 99,383,702,243,959,392/257,402,023.10
  6. Step 6: Final answer
    x = 386,103,034.65

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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.