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Finding the Fourth Proportional to 284,538.89, 392,671.59 and 157,222.73

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Solution

The fourth proportional to 284,538.89, 392,671.59 and 157,222.73 is: 216,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,538.89 : 392,671.59 = 157,222.73 : x
  2. Step 2: Convert to fraction form
    284,538.89/392,671.59 = 157,222.73/x
  3. Step 3: Cross multiply
    284,538.89x = 392,671.59 × 157,222.73
  4. Step 4: Simplify right side
    284,538.89x = 61,736,899,373.24
  5. Step 5: Solve for x
    x = 61,736,899,373.24/284,538.89
  6. Step 6: Final answer
    x = 216,971.74

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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.