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Finding the Fourth Proportional to 492,856.95, 680,013.72 and 288,798.51

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Solution

The fourth proportional to 492,856.95, 680,013.72 and 288,798.51 is: 398,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,856.95 : 680,013.72 = 288,798.51 : x
  2. Step 2: Convert to fraction form
    492,856.95/680,013.72 = 288,798.51/x
  3. Step 3: Cross multiply
    492,856.95x = 680,013.72 × 288,798.51
  4. Step 4: Simplify right side
    492,856.95x = 196,386,949,115.56
  5. Step 5: Solve for x
    x = 196,386,949,115.56/492,856.95
  6. Step 6: Final answer
    x = 398,466.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.