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Finding the Fourth Proportional to 257,053.17, 385,658.57 and 115,018.00

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Solution

The fourth proportional to 257,053.17, 385,658.57 and 115,018.00 is: 172,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,053.17 : 385,658.57 = 115,018.00 : x
  2. Step 2: Convert to fraction form
    257,053.17/385,658.57 = 115,018.00/x
  3. Step 3: Cross multiply
    257,053.17x = 385,658.57 × 115,018.00
  4. Step 4: Simplify right side
    257,053.17x = 44,357,677,184.35
  5. Step 5: Solve for x
    x = 44,357,677,184.35/257,053.17
  6. Step 6: Final answer
    x = 172,562.27

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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.