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Finding the Fourth Proportional to 356,615.88, 534,719.70 and 146,139

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Solution

The fourth proportional to 356,615.88, 534,719.70 and 146,139 is: 219,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,615.88 : 534,719.70 = 146,139 : x
  2. Step 2: Convert to fraction form
    356,615.88/534,719.70 = 146,139/x
  3. Step 3: Cross multiply
    356,615.88x = 534,719.70 × 146,139
  4. Step 4: Simplify right side
    356,615.88x = 78,143,402,238.30
  5. Step 5: Solve for x
    x = 78,143,402,238.30/356,615.88
  6. Step 6: Final answer
    x = 219,124.85

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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.