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Finding the Fourth Proportional to 453,023.80, 680,054.10 and 266,140.60

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Solution

The fourth proportional to 453,023.80, 680,054.10 and 266,140.60 is: 399,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,023.80 : 680,054.10 = 266,140.60 : x
  2. Step 2: Convert to fraction form
    453,023.80/680,054.10 = 266,140.60/x
  3. Step 3: Cross multiply
    453,023.80x = 680,054.10 × 266,140.60
  4. Step 4: Simplify right side
    453,023.80x = 180,990,006,206.46
  5. Step 5: Solve for x
    x = 180,990,006,206.46/453,023.80
  6. Step 6: Final answer
    x = 399,515.45

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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.