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Finding the Fourth Proportional to 314,885.70, 472,155.21 and 215,158.50

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Solution

The fourth proportional to 314,885.70, 472,155.21 and 215,158.50 is: 322,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,885.70 : 472,155.21 = 215,158.50 : x
  2. Step 2: Convert to fraction form
    314,885.70/472,155.21 = 215,158.50/x
  3. Step 3: Cross multiply
    314,885.70x = 472,155.21 × 215,158.50
  4. Step 4: Simplify right side
    314,885.70x = 101,588,206,750.79
  5. Step 5: Solve for x
    x = 101,588,206,750.79/314,885.70
  6. Step 6: Final answer
    x = 322,619.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.