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Finding the Fourth Proportional to 457,817.40, 687,382.20 and 346,280.40

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Solution

The fourth proportional to 457,817.40, 687,382.20 and 346,280.40 is: 519,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,817.40 : 687,382.20 = 346,280.40 : x
  2. Step 2: Convert to fraction form
    457,817.40/687,382.20 = 346,280.40/x
  3. Step 3: Cross multiply
    457,817.40x = 687,382.20 × 346,280.40
  4. Step 4: Simplify right side
    457,817.40x = 238,026,983,168.88
  5. Step 5: Solve for x
    x = 238,026,983,168.88/457,817.40
  6. Step 6: Final answer
    x = 519,916.86

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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.