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Finding the Fourth Proportional to 398,445.70, 597,668.55 and 149,095.30

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Solution

The fourth proportional to 398,445.70, 597,668.55 and 149,095.30 is: 223,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,445.70 : 597,668.55 = 149,095.30 : x
  2. Step 2: Convert to fraction form
    398,445.70/597,668.55 = 149,095.30/x
  3. Step 3: Cross multiply
    398,445.70x = 597,668.55 × 149,095.30
  4. Step 4: Simplify right side
    398,445.70x = 89,109,571,762.82
  5. Step 5: Solve for x
    x = 89,109,571,762.82/398,445.70
  6. Step 6: Final answer
    x = 223,642.95

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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.