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Finding the Fourth Proportional to 284,047.20, 426,070.80 and 213,188.40

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Solution

The fourth proportional to 284,047.20, 426,070.80 and 213,188.40 is: 319,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,047.20 : 426,070.80 = 213,188.40 : x
  2. Step 2: Convert to fraction form
    284,047.20/426,070.80 = 213,188.40/x
  3. Step 3: Cross multiply
    284,047.20x = 426,070.80 × 213,188.40
  4. Step 4: Simplify right side
    284,047.20x = 90,833,352,138.72
  5. Step 5: Solve for x
    x = 90,833,352,138.72/284,047.20
  6. Step 6: Final answer
    x = 319,782.60

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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.