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Finding the Fourth Proportional to 520,478.20, 780,842.04 and 178,915.78

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Solution

The fourth proportional to 520,478.20, 780,842.04 and 178,915.78 is: 268,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,478.20 : 780,842.04 = 178,915.78 : x
  2. Step 2: Convert to fraction form
    520,478.20/780,842.04 = 178,915.78/x
  3. Step 3: Cross multiply
    520,478.20x = 780,842.04 × 178,915.78
  4. Step 4: Simplify right side
    520,478.20x = 139,704,962,643.39
  5. Step 5: Solve for x
    x = 139,704,962,643.39/520,478.20
  6. Step 6: Final answer
    x = 268,416.55

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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.