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Finding the Fourth Proportional to 660,038, 990,473.50 and 280,958.16

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Solution

The fourth proportional to 660,038, 990,473.50 and 280,958.16 is: 421,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,038 : 990,473.50 = 280,958.16 : x
  2. Step 2: Convert to fraction form
    660,038/990,473.50 = 280,958.16/x
  3. Step 3: Cross multiply
    660,038x = 990,473.50 × 280,958.16
  4. Step 4: Simplify right side
    660,038x = 278,281,612,088.76
  5. Step 5: Solve for x
    x = 278,281,612,088.76/660,038
  6. Step 6: Final answer
    x = 421,614.53

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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.