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Finding the Fourth Proportional to 407,059.80, 610,480.35 and 140,901.90

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Solution

The fourth proportional to 407,059.80, 610,480.35 and 140,901.90 is: 211,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,059.80 : 610,480.35 = 140,901.90 : x
  2. Step 2: Convert to fraction form
    407,059.80/610,480.35 = 140,901.90/x
  3. Step 3: Cross multiply
    407,059.80x = 610,480.35 × 140,901.90
  4. Step 4: Simplify right side
    407,059.80x = 86,017,841,227.67
  5. Step 5: Solve for x
    x = 86,017,841,227.67/407,059.80
  6. Step 6: Final answer
    x = 211,315.00

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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.