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Finding the Fourth Proportional to 460,304.10, 688,512.15 and 413,259.30

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Solution

The fourth proportional to 460,304.10, 688,512.15 and 413,259.30 is: 618,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,304.10 : 688,512.15 = 413,259.30 : x
  2. Step 2: Convert to fraction form
    460,304.10/688,512.15 = 413,259.30/x
  3. Step 3: Cross multiply
    460,304.10x = 688,512.15 × 413,259.30
  4. Step 4: Simplify right side
    460,304.10x = 284,534,049,150.50
  5. Step 5: Solve for x
    x = 284,534,049,150.50/460,304.10
  6. Step 6: Final answer
    x = 618,143.63

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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.