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Finding the Fourth Proportional to 680,875.32, 1,020,357 and 538,092.84

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Solution

The fourth proportional to 680,875.32, 1,020,357 and 538,092.84 is: 806,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,875.32 : 1,020,357 = 538,092.84 : x
  2. Step 2: Convert to fraction form
    680,875.32/1,020,357 = 538,092.84/x
  3. Step 3: Cross multiply
    680,875.32x = 1,020,357 × 538,092.84
  4. Step 4: Simplify right side
    680,875.32x = 549,046,795,943.88
  5. Step 5: Solve for x
    x = 549,046,795,943.88/680,875.32
  6. Step 6: Final answer
    x = 806,383.75

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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.