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Finding the Fourth Proportional to 291,355.64, 402,078.33 and 164,035.82

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Solution

The fourth proportional to 291,355.64, 402,078.33 and 164,035.82 is: 226,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,355.64 : 402,078.33 = 164,035.82 : x
  2. Step 2: Convert to fraction form
    291,355.64/402,078.33 = 164,035.82/x
  3. Step 3: Cross multiply
    291,355.64x = 402,078.33 × 164,035.82
  4. Step 4: Simplify right side
    291,355.64x = 65,955,248,565.78
  5. Step 5: Solve for x
    x = 65,955,248,565.78/291,355.64
  6. Step 6: Final answer
    x = 226,373.68

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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.