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Finding the Fourth Proportional to 680,334.60, 1,020,501.90 and 280,842.60

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Solution

The fourth proportional to 680,334.60, 1,020,501.90 and 280,842.60 is: 421,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,334.60 : 1,020,501.90 = 280,842.60 : x
  2. Step 2: Convert to fraction form
    680,334.60/1,020,501.90 = 280,842.60/x
  3. Step 3: Cross multiply
    680,334.60x = 1,020,501.90 × 280,842.60
  4. Step 4: Simplify right side
    680,334.60x = 286,600,406,900.94
  5. Step 5: Solve for x
    x = 286,600,406,900.94/680,334.60
  6. Step 6: Final answer
    x = 421,263.90

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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.