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Finding the Fourth Proportional to 284,953.60, 427,430.40 and 280,806.40

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Solution

The fourth proportional to 284,953.60, 427,430.40 and 280,806.40 is: 421,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,953.60 : 427,430.40 = 280,806.40 : x
  2. Step 2: Convert to fraction form
    284,953.60/427,430.40 = 280,806.40/x
  3. Step 3: Cross multiply
    284,953.60x = 427,430.40 × 280,806.40
  4. Step 4: Simplify right side
    284,953.60x = 120,025,191,874.56
  5. Step 5: Solve for x
    x = 120,025,191,874.56/284,953.60
  6. Step 6: Final answer
    x = 421,209.60

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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.