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Finding the Fourth Proportional to 632,384.86, 948,578.91 and 258,407.86

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Solution

The fourth proportional to 632,384.86, 948,578.91 and 258,407.86 is: 387,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,384.86 : 948,578.91 = 258,407.86 : x
  2. Step 2: Convert to fraction form
    632,384.86/948,578.91 = 258,407.86/x
  3. Step 3: Cross multiply
    632,384.86x = 948,578.91 × 258,407.86
  4. Step 4: Simplify right side
    632,384.86x = 245,120,246,174.23
  5. Step 5: Solve for x
    x = 245,120,246,174.23/632,384.86
  6. Step 6: Final answer
    x = 387,612.45

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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.