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Finding the Fourth Proportional to 284,230.91, 392,228.37 and 156,903.77

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Solution

The fourth proportional to 284,230.91, 392,228.37 and 156,903.77 is: 216,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,230.91 : 392,228.37 = 156,903.77 : x
  2. Step 2: Convert to fraction form
    284,230.91/392,228.37 = 156,903.77/x
  3. Step 3: Cross multiply
    284,230.91x = 392,228.37 × 156,903.77
  4. Step 4: Simplify right side
    284,230.91x = 61,542,107,992.81
  5. Step 5: Solve for x
    x = 61,542,107,992.81/284,230.91
  6. Step 6: Final answer
    x = 216,521.52

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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.