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Finding the Fourth Proportional to 407,908.10, 611,862.15 and 258,317.30

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Solution

The fourth proportional to 407,908.10, 611,862.15 and 258,317.30 is: 387,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,908.10 : 611,862.15 = 258,317.30 : x
  2. Step 2: Convert to fraction form
    407,908.10/611,862.15 = 258,317.30/x
  3. Step 3: Cross multiply
    407,908.10x = 611,862.15 × 258,317.30
  4. Step 4: Simplify right side
    407,908.10x = 158,054,578,560.20
  5. Step 5: Solve for x
    x = 158,054,578,560.20/407,908.10
  6. Step 6: Final answer
    x = 387,475.95

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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.