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Finding the Fourth Proportional to 356,778.60, 534,908.70 and 146,308.20

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Solution

The fourth proportional to 356,778.60, 534,908.70 and 146,308.20 is: 219,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,778.60 : 534,908.70 = 146,308.20 : x
  2. Step 2: Convert to fraction form
    356,778.60/534,908.70 = 146,308.20/x
  3. Step 3: Cross multiply
    356,778.60x = 534,908.70 × 146,308.20
  4. Step 4: Simplify right side
    356,778.60x = 78,261,529,061.34
  5. Step 5: Solve for x
    x = 78,261,529,061.34/356,778.60
  6. Step 6: Final answer
    x = 219,356.01

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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.