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Finding the Fourth Proportional to 1,431,656, 2,147,496.96 and 434,384

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Solution

The fourth proportional to 1,431,656, 2,147,496.96 and 434,384 is: 651,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,656 : 2,147,496.96 = 434,384 : x
  2. Step 2: Convert to fraction form
    1,431,656/2,147,496.96 = 434,384/x
  3. Step 3: Cross multiply
    1,431,656x = 2,147,496.96 × 434,384
  4. Step 4: Simplify right side
    1,431,656x = 932,838,319,472.64
  5. Step 5: Solve for x
    x = 932,838,319,472.64/1,431,656
  6. Step 6: Final answer
    x = 651,579.93

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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.