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Finding the Fourth Proportional to 475,200, 655,777.20 and 260,344.32

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Solution

The fourth proportional to 475,200, 655,777.20 and 260,344.32 is: 359,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,200 : 655,777.20 = 260,344.32 : x
  2. Step 2: Convert to fraction form
    475,200/655,777.20 = 260,344.32/x
  3. Step 3: Cross multiply
    475,200x = 655,777.20 × 260,344.32
  4. Step 4: Simplify right side
    475,200x = 170,727,869,205.50
  5. Step 5: Solve for x
    x = 170,727,869,205.50/475,200
  6. Step 6: Final answer
    x = 359,275.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.