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Finding the Fourth Proportional to 847,993, 1,272,572.70 and 349,357

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Solution

The fourth proportional to 847,993, 1,272,572.70 and 349,357 is: 524,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,993 : 1,272,572.70 = 349,357 : x
  2. Step 2: Convert to fraction form
    847,993/1,272,572.70 = 349,357/x
  3. Step 3: Cross multiply
    847,993x = 1,272,572.70 × 349,357
  4. Step 4: Simplify right side
    847,993x = 444,582,180,753.90
  5. Step 5: Solve for x
    x = 444,582,180,753.90/847,993
  6. Step 6: Final answer
    x = 524,275.77

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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.