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Finding the Fourth Proportional to 284,217.60, 426,326.40 and 199,430.40

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Solution

The fourth proportional to 284,217.60, 426,326.40 and 199,430.40 is: 299,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,217.60 : 426,326.40 = 199,430.40 : x
  2. Step 2: Convert to fraction form
    284,217.60/426,326.40 = 199,430.40/x
  3. Step 3: Cross multiply
    284,217.60x = 426,326.40 × 199,430.40
  4. Step 4: Simplify right side
    284,217.60x = 85,022,444,482.56
  5. Step 5: Solve for x
    x = 85,022,444,482.56/284,217.60
  6. Step 6: Final answer
    x = 299,145.60

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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.