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Finding the Fourth Proportional to 540,172.80, 809,763.84 and 207,498.24

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Solution

The fourth proportional to 540,172.80, 809,763.84 and 207,498.24 is: 311,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,172.80 : 809,763.84 = 207,498.24 : x
  2. Step 2: Convert to fraction form
    540,172.80/809,763.84 = 207,498.24/x
  3. Step 3: Cross multiply
    540,172.80x = 809,763.84 × 207,498.24
  4. Step 4: Simplify right side
    540,172.80x = 168,024,571,615.64
  5. Step 5: Solve for x
    x = 168,024,571,615.64/540,172.80
  6. Step 6: Final answer
    x = 311,057.08

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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.