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Finding the Fourth Proportional to 360,423.68, 497,349.62 and 199,256.66

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Solution

The fourth proportional to 360,423.68, 497,349.62 and 199,256.66 is: 274,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,423.68 : 497,349.62 = 199,256.66 : x
  2. Step 2: Convert to fraction form
    360,423.68/497,349.62 = 199,256.66/x
  3. Step 3: Cross multiply
    360,423.68x = 497,349.62 × 199,256.66
  4. Step 4: Simplify right side
    360,423.68x = 99,100,223,262.71
  5. Step 5: Solve for x
    x = 99,100,223,262.71/360,423.68
  6. Step 6: Final answer
    x = 274,954.81

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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.