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Finding the Fourth Proportional to 680,970.90, 1,019,901.15 and 401,034.90

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Solution

The fourth proportional to 680,970.90, 1,019,901.15 and 401,034.90 is: 600,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,970.90 : 1,019,901.15 = 401,034.90 : x
  2. Step 2: Convert to fraction form
    680,970.90/1,019,901.15 = 401,034.90/x
  3. Step 3: Cross multiply
    680,970.90x = 1,019,901.15 × 401,034.90
  4. Step 4: Simplify right side
    680,970.90x = 409,015,955,700.14
  5. Step 5: Solve for x
    x = 409,015,955,700.14/680,970.90
  6. Step 6: Final answer
    x = 600,636.47

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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.