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Finding the Fourth Proportional to 316,902.60, 475,349.31 and 77,018.27

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Solution

The fourth proportional to 316,902.60, 475,349.31 and 77,018.27 is: 115,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,902.60 : 475,349.31 = 77,018.27 : x
  2. Step 2: Convert to fraction form
    316,902.60/475,349.31 = 77,018.27/x
  3. Step 3: Cross multiply
    316,902.60x = 475,349.31 × 77,018.27
  4. Step 4: Simplify right side
    316,902.60x = 36,610,579,125.15
  5. Step 5: Solve for x
    x = 36,610,579,125.15/316,902.60
  6. Step 6: Final answer
    x = 115,526.28

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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.