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Finding the Fourth Proportional to 257,002.40, 384,985.20 and 178,205.60

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Solution

The fourth proportional to 257,002.40, 384,985.20 and 178,205.60 is: 266,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,002.40 : 384,985.20 = 178,205.60 : x
  2. Step 2: Convert to fraction form
    257,002.40/384,985.20 = 178,205.60/x
  3. Step 3: Cross multiply
    257,002.40x = 384,985.20 × 178,205.60
  4. Step 4: Simplify right side
    257,002.40x = 68,606,518,557.12
  5. Step 5: Solve for x
    x = 68,606,518,557.12/257,002.40
  6. Step 6: Final answer
    x = 266,948.94

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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.