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Finding the Fourth Proportional to 390,645.56, 586,026.84 and 141,385.88

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Solution

The fourth proportional to 390,645.56, 586,026.84 and 141,385.88 is: 212,100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,645.56 : 586,026.84 = 141,385.88 : x
  2. Step 2: Convert to fraction form
    390,645.56/586,026.84 = 141,385.88/x
  3. Step 3: Cross multiply
    390,645.56x = 586,026.84 × 141,385.88
  4. Step 4: Simplify right side
    390,645.56x = 82,855,922,472.28
  5. Step 5: Solve for x
    x = 82,855,922,472.28/390,645.56
  6. Step 6: Final answer
    x = 212,100.00

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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.