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Finding the Fourth Proportional to 520,080.80, 780,121.20 and 461,031.80

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Solution

The fourth proportional to 520,080.80, 780,121.20 and 461,031.80 is: 691,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,080.80 : 780,121.20 = 461,031.80 : x
  2. Step 2: Convert to fraction form
    520,080.80/780,121.20 = 461,031.80/x
  3. Step 3: Cross multiply
    520,080.80x = 780,121.20 × 461,031.80
  4. Step 4: Simplify right side
    520,080.80x = 359,660,681,054.16
  5. Step 5: Solve for x
    x = 359,660,681,054.16/520,080.80
  6. Step 6: Final answer
    x = 691,547.70

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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.