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Finding the Fourth Proportional to 390,872.16, 586,394.28 and 222,471.72

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Solution

The fourth proportional to 390,872.16, 586,394.28 and 222,471.72 is: 333,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,872.16 : 586,394.28 = 222,471.72 : x
  2. Step 2: Convert to fraction form
    390,872.16/586,394.28 = 222,471.72/x
  3. Step 3: Cross multiply
    390,872.16x = 586,394.28 × 222,471.72
  4. Step 4: Simplify right side
    390,872.16x = 130,456,144,069.76
  5. Step 5: Solve for x
    x = 130,456,144,069.76/390,872.16
  6. Step 6: Final answer
    x = 333,756.55

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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.