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Finding the Fourth Proportional to 390,458.77, 585,778.37 and 165,826.53

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Solution

The fourth proportional to 390,458.77, 585,778.37 and 165,826.53 is: 248,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,458.77 : 585,778.37 = 165,826.53 : x
  2. Step 2: Convert to fraction form
    390,458.77/585,778.37 = 165,826.53/x
  3. Step 3: Cross multiply
    390,458.77x = 585,778.37 × 165,826.53
  4. Step 4: Simplify right side
    390,458.77x = 97,137,594,446.16
  5. Step 5: Solve for x
    x = 97,137,594,446.16/390,458.77
  6. Step 6: Final answer
    x = 248,778.11

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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.