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Finding the Fourth Proportional to 316,840.60, 475,348.98 and 257,529.40

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Solution

The fourth proportional to 316,840.60, 475,348.98 and 257,529.40 is: 386,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,840.60 : 475,348.98 = 257,529.40 : x
  2. Step 2: Convert to fraction form
    316,840.60/475,348.98 = 257,529.40/x
  3. Step 3: Cross multiply
    316,840.60x = 475,348.98 × 257,529.40
  4. Step 4: Simplify right side
    316,840.60x = 122,416,337,610.01
  5. Step 5: Solve for x
    x = 122,416,337,610.01/316,840.60
  6. Step 6: Final answer
    x = 386,365.69

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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.