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Finding the Fourth Proportional to 727,572, 1,004,049.36 and 425,766

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Solution

The fourth proportional to 727,572, 1,004,049.36 and 425,766 is: 587,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,572 : 1,004,049.36 = 425,766 : x
  2. Step 2: Convert to fraction form
    727,572/1,004,049.36 = 425,766/x
  3. Step 3: Cross multiply
    727,572x = 1,004,049.36 × 425,766
  4. Step 4: Simplify right side
    727,572x = 427,490,079,809.76
  5. Step 5: Solve for x
    x = 427,490,079,809.76/727,572
  6. Step 6: Final answer
    x = 587,557.08

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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.