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Finding the Fourth Proportional to 316,386, 474,695.64 and 166,620.24

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Solution

The fourth proportional to 316,386, 474,695.64 and 166,620.24 is: 249,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,386 : 474,695.64 = 166,620.24 : x
  2. Step 2: Convert to fraction form
    316,386/474,695.64 = 166,620.24/x
  3. Step 3: Cross multiply
    316,386x = 474,695.64 × 166,620.24
  4. Step 4: Simplify right side
    316,386x = 79,093,901,463.75
  5. Step 5: Solve for x
    x = 79,093,901,463.75/316,386
  6. Step 6: Final answer
    x = 249,991.79

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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.