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Finding the Fourth Proportional to 473,403.71, 653,313.24 and 279,977.23

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Solution

The fourth proportional to 473,403.71, 653,313.24 and 279,977.23 is: 386,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,403.71 : 653,313.24 = 279,977.23 : x
  2. Step 2: Convert to fraction form
    473,403.71/653,313.24 = 279,977.23/x
  3. Step 3: Cross multiply
    473,403.71x = 653,313.24 × 279,977.23
  4. Step 4: Simplify right side
    473,403.71x = 182,912,833,124.08
  5. Step 5: Solve for x
    x = 182,912,833,124.08/473,403.71
  6. Step 6: Final answer
    x = 386,378.11

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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.