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Finding the Fourth Proportional to 407,214.72, 611,061.12 and 170,539.20

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Solution

The fourth proportional to 407,214.72, 611,061.12 and 170,539.20 is: 255,908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,214.72 : 611,061.12 = 170,539.20 : x
  2. Step 2: Convert to fraction form
    407,214.72/611,061.12 = 170,539.20/x
  3. Step 3: Cross multiply
    407,214.72x = 611,061.12 × 170,539.20
  4. Step 4: Simplify right side
    407,214.72x = 104,209,874,555.90
  5. Step 5: Solve for x
    x = 104,209,874,555.90/407,214.72
  6. Step 6: Final answer
    x = 255,908.91

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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.