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Finding the Fourth Proportional to 478,836.19, 716,480.10 and 383,778.06

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Solution

The fourth proportional to 478,836.19, 716,480.10 and 383,778.06 is: 574,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,836.19 : 716,480.10 = 383,778.06 : x
  2. Step 2: Convert to fraction form
    478,836.19/716,480.10 = 383,778.06/x
  3. Step 3: Cross multiply
    478,836.19x = 716,480.10 × 383,778.06
  4. Step 4: Simplify right side
    478,836.19x = 274,969,342,806.61
  5. Step 5: Solve for x
    x = 274,969,342,806.61/478,836.19
  6. Step 6: Final answer
    x = 574,245.12

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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.