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Finding the Fourth Proportional to 420,152.94, 579,801.24 and 229,167.90

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Solution

The fourth proportional to 420,152.94, 579,801.24 and 229,167.90 is: 316,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,152.94 : 579,801.24 = 229,167.90 : x
  2. Step 2: Convert to fraction form
    420,152.94/579,801.24 = 229,167.90/x
  3. Step 3: Cross multiply
    420,152.94x = 579,801.24 × 229,167.90
  4. Step 4: Simplify right side
    420,152.94x = 132,871,832,588.20
  5. Step 5: Solve for x
    x = 132,871,832,588.20/420,152.94
  6. Step 6: Final answer
    x = 316,246.35

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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.