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Finding the Fourth Proportional to 210,500.38, 290,114.76 and 159,391

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Solution

The fourth proportional to 210,500.38, 290,114.76 and 159,391 is: 219,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,500.38 : 290,114.76 = 159,391 : x
  2. Step 2: Convert to fraction form
    210,500.38/290,114.76 = 159,391/x
  3. Step 3: Cross multiply
    210,500.38x = 290,114.76 × 159,391
  4. Step 4: Simplify right side
    210,500.38x = 46,241,681,711.16
  5. Step 5: Solve for x
    x = 46,241,681,711.16/210,500.38
  6. Step 6: Final answer
    x = 219,675.05

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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.