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Finding the Fourth Proportional to 472,254.92, 708,486.06 and 139,856.84

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Solution

The fourth proportional to 472,254.92, 708,486.06 and 139,856.84 is: 209,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,254.92 : 708,486.06 = 139,856.84 : x
  2. Step 2: Convert to fraction form
    472,254.92/708,486.06 = 139,856.84/x
  3. Step 3: Cross multiply
    472,254.92x = 708,486.06 × 139,856.84
  4. Step 4: Simplify right side
    472,254.92x = 99,086,621,535.65
  5. Step 5: Solve for x
    x = 99,086,621,535.65/472,254.92
  6. Step 6: Final answer
    x = 209,815.96

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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.