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Finding the Fourth Proportional to 257,521.93, 386,203.85 and 178,070.40

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Solution

The fourth proportional to 257,521.93, 386,203.85 and 178,070.40 is: 267,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,521.93 : 386,203.85 = 178,070.40 : x
  2. Step 2: Convert to fraction form
    257,521.93/386,203.85 = 178,070.40/x
  3. Step 3: Cross multiply
    257,521.93x = 386,203.85 × 178,070.40
  4. Step 4: Simplify right side
    257,521.93x = 68,771,473,828.45
  5. Step 5: Solve for x
    x = 68,771,473,828.45/257,521.93
  6. Step 6: Final answer
    x = 267,050.94

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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.