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Finding the Fourth Proportional to 656,765.81, 985,148.70 and 302,078.15

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Solution

The fourth proportional to 656,765.81, 985,148.70 and 302,078.15 is: 453,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,765.81 : 985,148.70 = 302,078.15 : x
  2. Step 2: Convert to fraction form
    656,765.81/985,148.70 = 302,078.15/x
  3. Step 3: Cross multiply
    656,765.81x = 985,148.70 × 302,078.15
  4. Step 4: Simplify right side
    656,765.81x = 297,591,891,845.16
  5. Step 5: Solve for x
    x = 297,591,891,845.16/656,765.81
  6. Step 6: Final answer
    x = 453,117.21

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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.