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Finding the Fourth Proportional to 291,658.32, 402,501.96 and 164,339.28

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Solution

The fourth proportional to 291,658.32, 402,501.96 and 164,339.28 is: 226,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,658.32 : 402,501.96 = 164,339.28 : x
  2. Step 2: Convert to fraction form
    291,658.32/402,501.96 = 164,339.28/x
  3. Step 3: Cross multiply
    291,658.32x = 402,501.96 × 164,339.28
  4. Step 4: Simplify right side
    291,658.32x = 66,146,882,304.99
  5. Step 5: Solve for x
    x = 66,146,882,304.99/291,658.32
  6. Step 6: Final answer
    x = 226,795.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.