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Finding the Fourth Proportional to 729,284, 1,006,462.40 and 407,056.80

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Solution

The fourth proportional to 729,284, 1,006,462.40 and 407,056.80 is: 561,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,284 : 1,006,462.40 = 407,056.80 : x
  2. Step 2: Convert to fraction form
    729,284/1,006,462.40 = 407,056.80/x
  3. Step 3: Cross multiply
    729,284x = 1,006,462.40 × 407,056.80
  4. Step 4: Simplify right side
    729,284x = 409,687,363,864.32
  5. Step 5: Solve for x
    x = 409,687,363,864.32/729,284
  6. Step 6: Final answer
    x = 561,766.56

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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.