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Finding the Fourth Proportional to 614,339.76, 847,838.16 and 342,495.66

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Solution

The fourth proportional to 614,339.76, 847,838.16 and 342,495.66 is: 472,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,339.76 : 847,838.16 = 342,495.66 : x
  2. Step 2: Convert to fraction form
    614,339.76/847,838.16 = 342,495.66/x
  3. Step 3: Cross multiply
    614,339.76x = 847,838.16 × 342,495.66
  4. Step 4: Simplify right side
    614,339.76x = 290,380,890,182.39
  5. Step 5: Solve for x
    x = 290,380,890,182.39/614,339.76
  6. Step 6: Final answer
    x = 472,671.49

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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.