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Finding the Fourth Proportional to 513,877.60, 770,816.40 and 324,920.80

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Solution

The fourth proportional to 513,877.60, 770,816.40 and 324,920.80 is: 487,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,877.60 : 770,816.40 = 324,920.80 : x
  2. Step 2: Convert to fraction form
    513,877.60/770,816.40 = 324,920.80/x
  3. Step 3: Cross multiply
    513,877.60x = 770,816.40 × 324,920.80
  4. Step 4: Simplify right side
    513,877.60x = 250,454,281,341.12
  5. Step 5: Solve for x
    x = 250,454,281,341.12/513,877.60
  6. Step 6: Final answer
    x = 487,381.20

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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.