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Finding the Fourth Proportional to 419,446.44, 578,332.98 and 342,681.12

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Solution

The fourth proportional to 419,446.44, 578,332.98 and 342,681.12 is: 472,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,446.44 : 578,332.98 = 342,681.12 : x
  2. Step 2: Convert to fraction form
    419,446.44/578,332.98 = 342,681.12/x
  3. Step 3: Cross multiply
    419,446.44x = 578,332.98 × 342,681.12
  4. Step 4: Simplify right side
    419,446.44x = 198,183,793,319.34
  5. Step 5: Solve for x
    x = 198,183,793,319.34/419,446.44
  6. Step 6: Final answer
    x = 472,488.91

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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.