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Finding the Fourth Proportional to 457,830, 686,934 and 247,219.92

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Solution

The fourth proportional to 457,830, 686,934 and 247,219.92 is: 370,931.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,830 : 686,934 = 247,219.92 : x
  2. Step 2: Convert to fraction form
    457,830/686,934 = 247,219.92/x
  3. Step 3: Cross multiply
    457,830x = 686,934 × 247,219.92
  4. Step 4: Simplify right side
    457,830x = 169,823,768,525.28
  5. Step 5: Solve for x
    x = 169,823,768,525.28/457,830
  6. Step 6: Final answer
    x = 370,931.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.