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Finding the Fourth Proportional to 513,915.50, 771,177 and 286,401.08

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Solution

The fourth proportional to 513,915.50, 771,177 and 286,401.08 is: 429,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,915.50 : 771,177 = 286,401.08 : x
  2. Step 2: Convert to fraction form
    513,915.50/771,177 = 286,401.08/x
  3. Step 3: Cross multiply
    513,915.50x = 771,177 × 286,401.08
  4. Step 4: Simplify right side
    513,915.50x = 220,865,925,671.16
  5. Step 5: Solve for x
    x = 220,865,925,671.16/513,915.50
  6. Step 6: Final answer
    x = 429,770.90

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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.