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Finding the Fourth Proportional to 614,003.64, 847,351.18 and 342,071.40

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Solution

The fourth proportional to 614,003.64, 847,351.18 and 342,071.40 is: 472,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,003.64 : 847,351.18 = 342,071.40 : x
  2. Step 2: Convert to fraction form
    614,003.64/847,351.18 = 342,071.40/x
  3. Step 3: Cross multiply
    614,003.64x = 847,351.18 × 342,071.40
  4. Step 4: Simplify right side
    614,003.64x = 289,854,604,434.25
  5. Step 5: Solve for x
    x = 289,854,604,434.25/614,003.64
  6. Step 6: Final answer
    x = 472,073.10

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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.