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Finding the Fourth Proportional to 452,402.30, 678,603.45 and 413,695.10

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Solution

The fourth proportional to 452,402.30, 678,603.45 and 413,695.10 is: 620,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,402.30 : 678,603.45 = 413,695.10 : x
  2. Step 2: Convert to fraction form
    452,402.30/678,603.45 = 413,695.10/x
  3. Step 3: Cross multiply
    452,402.30x = 678,603.45 × 413,695.10
  4. Step 4: Simplify right side
    452,402.30x = 280,734,922,108.10
  5. Step 5: Solve for x
    x = 280,734,922,108.10/452,402.30
  6. Step 6: Final answer
    x = 620,542.65

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Similar ratio
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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.