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Finding the Fourth Proportional to 296,959.10, 445,434.05 and 72,319.16

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Solution

The fourth proportional to 296,959.10, 445,434.05 and 72,319.16 is: 108,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,959.10 : 445,434.05 = 72,319.16 : x
  2. Step 2: Convert to fraction form
    296,959.10/445,434.05 = 72,319.16/x
  3. Step 3: Cross multiply
    296,959.10x = 445,434.05 × 72,319.16
  4. Step 4: Simplify right side
    296,959.10x = 32,213,417,625.78
  5. Step 5: Solve for x
    x = 32,213,417,625.78/296,959.10
  6. Step 6: Final answer
    x = 108,477.63

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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.