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Finding the Fourth Proportional to 432,967.90, 648,139.65 and 314,869.90

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Solution

The fourth proportional to 432,967.90, 648,139.65 and 314,869.90 is: 471,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,967.90 : 648,139.65 = 314,869.90 : x
  2. Step 2: Convert to fraction form
    432,967.90/648,139.65 = 314,869.90/x
  3. Step 3: Cross multiply
    432,967.90x = 648,139.65 × 314,869.90
  4. Step 4: Simplify right side
    432,967.90x = 204,079,666,781.54
  5. Step 5: Solve for x
    x = 204,079,666,781.54/432,967.90
  6. Step 6: Final answer
    x = 471,350.57

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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.