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Finding the Fourth Proportional to 284,355.72, 392,407.74 and 157,028.76

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Solution

The fourth proportional to 284,355.72, 392,407.74 and 157,028.76 is: 216,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,355.72 : 392,407.74 = 157,028.76 : x
  2. Step 2: Convert to fraction form
    284,355.72/392,407.74 = 157,028.76/x
  3. Step 3: Cross multiply
    284,355.72x = 392,407.74 × 157,028.76
  4. Step 4: Simplify right side
    284,355.72x = 61,619,300,826.60
  5. Step 5: Solve for x
    x = 61,619,300,826.60/284,355.72
  6. Step 6: Final answer
    x = 216,697.95

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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.