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Finding the Fourth Proportional to 409,892.32, 614,925.96 and 143,669.08

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Solution

The fourth proportional to 409,892.32, 614,925.96 and 143,669.08 is: 215,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,892.32 : 614,925.96 = 143,669.08 : x
  2. Step 2: Convert to fraction form
    409,892.32/614,925.96 = 143,669.08/x
  3. Step 3: Cross multiply
    409,892.32x = 614,925.96 × 143,669.08
  4. Step 4: Simplify right side
    409,892.32x = 88,345,846,941.32
  5. Step 5: Solve for x
    x = 88,345,846,941.32/409,892.32
  6. Step 6: Final answer
    x = 215,534.28

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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.