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Finding the Fourth Proportional to 309,891.10, 465,820.80 and 292,176.40

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Solution

The fourth proportional to 309,891.10, 465,820.80 and 292,176.40 is: 439,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,891.10 : 465,820.80 = 292,176.40 : x
  2. Step 2: Convert to fraction form
    309,891.10/465,820.80 = 292,176.40/x
  3. Step 3: Cross multiply
    309,891.10x = 465,820.80 × 292,176.40
  4. Step 4: Simplify right side
    309,891.10x = 136,101,844,389.12
  5. Step 5: Solve for x
    x = 136,101,844,389.12/309,891.10
  6. Step 6: Final answer
    x = 439,192.49

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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.