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Finding the Fourth Proportional to 305,649.35, 457,877.61 and 200,148.47

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Solution

The fourth proportional to 305,649.35, 457,877.61 and 200,148.47 is: 299,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,649.35 : 457,877.61 = 200,148.47 : x
  2. Step 2: Convert to fraction form
    305,649.35/457,877.61 = 200,148.47/x
  3. Step 3: Cross multiply
    305,649.35x = 457,877.61 × 200,148.47
  4. Step 4: Simplify right side
    305,649.35x = 91,643,502,516.41
  5. Step 5: Solve for x
    x = 91,643,502,516.41/305,649.35
  6. Step 6: Final answer
    x = 299,832.15

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1.5x scale

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.