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Finding the Fourth Proportional to 473,108.80, 709,663.20 and 305,147.20

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Solution

The fourth proportional to 473,108.80, 709,663.20 and 305,147.20 is: 457,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,108.80 : 709,663.20 = 305,147.20 : x
  2. Step 2: Convert to fraction form
    473,108.80/709,663.20 = 305,147.20/x
  3. Step 3: Cross multiply
    473,108.80x = 709,663.20 × 305,147.20
  4. Step 4: Simplify right side
    473,108.80x = 216,551,738,423.04
  5. Step 5: Solve for x
    x = 216,551,738,423.04/473,108.80
  6. Step 6: Final answer
    x = 457,720.80

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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.