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Finding the Fourth Proportional to 513,785.40, 770,678.10 and 408,031.80

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Solution

The fourth proportional to 513,785.40, 770,678.10 and 408,031.80 is: 612,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,785.40 : 770,678.10 = 408,031.80 : x
  2. Step 2: Convert to fraction form
    513,785.40/770,678.10 = 408,031.80/x
  3. Step 3: Cross multiply
    513,785.40x = 770,678.10 × 408,031.80
  4. Step 4: Simplify right side
    513,785.40x = 314,461,172,363.58
  5. Step 5: Solve for x
    x = 314,461,172,363.58/513,785.40
  6. Step 6: Final answer
    x = 612,047.70

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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.