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Finding the Fourth Proportional to 614,486.80, 847,923.28 and 342,534.16

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Solution

The fourth proportional to 614,486.80, 847,923.28 and 342,534.16 is: 472,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,486.80 : 847,923.28 = 342,534.16 : x
  2. Step 2: Convert to fraction form
    614,486.80/847,923.28 = 342,534.16/x
  3. Step 3: Cross multiply
    614,486.80x = 847,923.28 × 342,534.16
  4. Step 4: Simplify right side
    614,486.80x = 290,442,688,459.25
  5. Step 5: Solve for x
    x = 290,442,688,459.25/614,486.80
  6. Step 6: Final answer
    x = 472,658.95

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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.