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Finding the Fourth Proportional to 431,820.06, 647,803.92 and 147,495

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Solution

The fourth proportional to 431,820.06, 647,803.92 and 147,495 is: 221,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,820.06 : 647,803.92 = 147,495 : x
  2. Step 2: Convert to fraction form
    431,820.06/647,803.92 = 147,495/x
  3. Step 3: Cross multiply
    431,820.06x = 647,803.92 × 147,495
  4. Step 4: Simplify right side
    431,820.06x = 95,547,839,180.40
  5. Step 5: Solve for x
    x = 95,547,839,180.40/431,820.06
  6. Step 6: Final answer
    x = 221,267.72

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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.