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Finding the Fourth Proportional to 432,145.80, 648,218.70 and 299,176.20

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Solution

The fourth proportional to 432,145.80, 648,218.70 and 299,176.20 is: 448,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,145.80 : 648,218.70 = 299,176.20 : x
  2. Step 2: Convert to fraction form
    432,145.80/648,218.70 = 299,176.20/x
  3. Step 3: Cross multiply
    432,145.80x = 648,218.70 × 299,176.20
  4. Step 4: Simplify right side
    432,145.80x = 193,931,607,434.94
  5. Step 5: Solve for x
    x = 193,931,607,434.94/432,145.80
  6. Step 6: Final answer
    x = 448,764.30

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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.