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Finding the Fourth Proportional to 614,425.62, 847,895.21 and 342,477.29

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Solution

The fourth proportional to 614,425.62, 847,895.21 and 342,477.29 is: 472,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,425.62 : 847,895.21 = 342,477.29 : x
  2. Step 2: Convert to fraction form
    614,425.62/847,895.21 = 342,477.29/x
  3. Step 3: Cross multiply
    614,425.62x = 847,895.21 × 342,477.29
  4. Step 4: Simplify right side
    614,425.62x = 290,384,852,236.82
  5. Step 5: Solve for x
    x = 290,384,852,236.82/614,425.62
  6. Step 6: Final answer
    x = 472,611.89

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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.