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Finding the Fourth Proportional to 284,224.34, 392,219.31 and 156,897.20

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Solution

The fourth proportional to 284,224.34, 392,219.31 and 156,897.20 is: 216,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,224.34 : 392,219.31 = 156,897.20 : x
  2. Step 2: Convert to fraction form
    284,224.34/392,219.31 = 156,897.20/x
  3. Step 3: Cross multiply
    284,224.34x = 392,219.31 × 156,897.20
  4. Step 4: Simplify right side
    284,224.34x = 61,538,113,093.84
  5. Step 5: Solve for x
    x = 61,538,113,093.84/284,224.34
  6. Step 6: Final answer
    x = 216,512.47

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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.