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Finding the Fourth Proportional to 284,219.60, 392,212.68 and 156,894.80

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Solution

The fourth proportional to 284,219.60, 392,212.68 and 156,894.80 is: 216,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,219.60 : 392,212.68 = 156,894.80 : x
  2. Step 2: Convert to fraction form
    284,219.60/392,212.68 = 156,894.80/x
  3. Step 3: Cross multiply
    284,219.60x = 392,212.68 × 156,894.80
  4. Step 4: Simplify right side
    284,219.60x = 61,536,129,986.06
  5. Step 5: Solve for x
    x = 61,536,129,986.06/284,219.60
  6. Step 6: Final answer
    x = 216,509.10

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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.