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Finding the Fourth Proportional to 457,814.80, 686,722.20 and 434,486.80

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Solution

The fourth proportional to 457,814.80, 686,722.20 and 434,486.80 is: 651,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,814.80 : 686,722.20 = 434,486.80 : x
  2. Step 2: Convert to fraction form
    457,814.80/686,722.20 = 434,486.80/x
  3. Step 3: Cross multiply
    457,814.80x = 686,722.20 × 434,486.80
  4. Step 4: Simplify right side
    457,814.80x = 298,371,731,166.96
  5. Step 5: Solve for x
    x = 298,371,731,166.96/457,814.80
  6. Step 6: Final answer
    x = 651,730.20

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1.5x scale

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.