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Finding the Fourth Proportional to 257,494,652.10, 386,241,978.15 and 148,655,535.30

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Solution

The fourth proportional to 257,494,652.10, 386,241,978.15 and 148,655,535.30 is: 222,983,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,494,652.10 : 386,241,978.15 = 148,655,535.30 : x
  2. Step 2: Convert to fraction form
    257,494,652.10/386,241,978.15 = 148,655,535.30/x
  3. Step 3: Cross multiply
    257,494,652.10x = 386,241,978.15 × 148,655,535.30
  4. Step 4: Simplify right side
    257,494,652.10x = 57,417,008,017,219,152
  5. Step 5: Solve for x
    x = 57,417,008,017,219,152/257,494,652.10
  6. Step 6: Final answer
    x = 222,983,302.95

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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.