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Finding the Fourth Proportional to 420,269.93, 579,969.74 and 238,981.87

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Solution

The fourth proportional to 420,269.93, 579,969.74 and 238,981.87 is: 329,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,269.93 : 579,969.74 = 238,981.87 : x
  2. Step 2: Convert to fraction form
    420,269.93/579,969.74 = 238,981.87/x
  3. Step 3: Cross multiply
    420,269.93x = 579,969.74 × 238,981.87
  4. Step 4: Simplify right side
    420,269.93x = 138,602,252,156.14
  5. Step 5: Solve for x
    x = 138,602,252,156.14/420,269.93
  6. Step 6: Final answer
    x = 329,793.41

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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.