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Finding the Fourth Proportional to 614,360.46, 847,821.63 and 342,445.86

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Solution

The fourth proportional to 614,360.46, 847,821.63 and 342,445.86 is: 472,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,360.46 : 847,821.63 = 342,445.86 : x
  2. Step 2: Convert to fraction form
    614,360.46/847,821.63 = 342,445.86/x
  3. Step 3: Cross multiply
    614,360.46x = 847,821.63 × 342,445.86
  4. Step 4: Simplify right side
    614,360.46x = 290,333,007,211.95
  5. Step 5: Solve for x
    x = 290,333,007,211.95/614,360.46
  6. Step 6: Final answer
    x = 472,577.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.