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Finding the Fourth Proportional to 496,648.06, 686,065.85 and 478,213.47

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Solution

The fourth proportional to 496,648.06, 686,065.85 and 478,213.47 is: 660,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,648.06 : 686,065.85 = 478,213.47 : x
  2. Step 2: Convert to fraction form
    496,648.06/686,065.85 = 478,213.47/x
  3. Step 3: Cross multiply
    496,648.06x = 686,065.85 × 478,213.47
  4. Step 4: Simplify right side
    496,648.06x = 328,085,930,179.23
  5. Step 5: Solve for x
    x = 328,085,930,179.23/496,648.06
  6. Step 6: Final answer
    x = 660,600.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.