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Finding the Fourth Proportional to 420,280.66, 579,975.78 and 229,294

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Solution

The fourth proportional to 420,280.66, 579,975.78 and 229,294 is: 316,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,280.66 : 579,975.78 = 229,294 : x
  2. Step 2: Convert to fraction form
    420,280.66/579,975.78 = 229,294/x
  3. Step 3: Cross multiply
    420,280.66x = 579,975.78 × 229,294
  4. Step 4: Simplify right side
    420,280.66x = 132,984,966,499.32
  5. Step 5: Solve for x
    x = 132,984,966,499.32/420,280.66
  6. Step 6: Final answer
    x = 316,419.43

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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.