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Finding the Fourth Proportional to 342,461.88, 472,490.28 and 206,537.40

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Solution

The fourth proportional to 342,461.88, 472,490.28 and 206,537.40 is: 284,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,461.88 : 472,490.28 = 206,537.40 : x
  2. Step 2: Convert to fraction form
    342,461.88/472,490.28 = 206,537.40/x
  3. Step 3: Cross multiply
    342,461.88x = 472,490.28 × 206,537.40
  4. Step 4: Simplify right side
    342,461.88x = 97,586,913,956.47
  5. Step 5: Solve for x
    x = 97,586,913,956.47/342,461.88
  6. Step 6: Final answer
    x = 284,957.01

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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.