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Finding the Fourth Proportional to 473,074.80, 709,612.20 and 305,113.20

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Solution

The fourth proportional to 473,074.80, 709,612.20 and 305,113.20 is: 457,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,074.80 : 709,612.20 = 305,113.20 : x
  2. Step 2: Convert to fraction form
    473,074.80/709,612.20 = 305,113.20/x
  3. Step 3: Cross multiply
    473,074.80x = 709,612.20 × 305,113.20
  4. Step 4: Simplify right side
    473,074.80x = 216,512,049,101.04
  5. Step 5: Solve for x
    x = 216,512,049,101.04/473,074.80
  6. Step 6: Final answer
    x = 457,669.80

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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.