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Finding the Fourth Proportional to 209,300.68, 288,346.80 and 145,527.76

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Solution

The fourth proportional to 209,300.68, 288,346.80 and 145,527.76 is: 200,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,300.68 : 288,346.80 = 145,527.76 : x
  2. Step 2: Convert to fraction form
    209,300.68/288,346.80 = 145,527.76/x
  3. Step 3: Cross multiply
    209,300.68x = 288,346.80 × 145,527.76
  4. Step 4: Simplify right side
    209,300.68x = 41,962,463,907.17
  5. Step 5: Solve for x
    x = 41,962,463,907.17/209,300.68
  6. Step 6: Final answer
    x = 200,488.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.