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Finding the Fourth Proportional to 257,321.64, 385,970.58 and 70,332.60

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Solution

The fourth proportional to 257,321.64, 385,970.58 and 70,332.60 is: 105,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,321.64 : 385,970.58 = 70,332.60 : x
  2. Step 2: Convert to fraction form
    257,321.64/385,970.58 = 70,332.60/x
  3. Step 3: Cross multiply
    257,321.64x = 385,970.58 × 70,332.60
  4. Step 4: Simplify right side
    257,321.64x = 27,146,314,414.91
  5. Step 5: Solve for x
    x = 27,146,314,414.91/257,321.64
  6. Step 6: Final answer
    x = 105,495.65

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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.