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Finding the Fourth Proportional to 409,460.16, 614,368.72 and 143,411.52

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Solution

The fourth proportional to 409,460.16, 614,368.72 and 143,411.52 is: 215,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,460.16 : 614,368.72 = 143,411.52 : x
  2. Step 2: Convert to fraction form
    409,460.16/614,368.72 = 143,411.52/x
  3. Step 3: Cross multiply
    409,460.16x = 614,368.72 × 143,411.52
  4. Step 4: Simplify right side
    409,460.16x = 88,107,551,975.65
  5. Step 5: Solve for x
    x = 88,107,551,975.65/409,460.16
  6. Step 6: Final answer
    x = 215,179.79

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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.