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Finding the Fourth Proportional to 228,529.08, 315,332.64 and 143,586

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Solution

The fourth proportional to 228,529.08, 315,332.64 and 143,586 is: 198,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,529.08 : 315,332.64 = 143,586 : x
  2. Step 2: Convert to fraction form
    228,529.08/315,332.64 = 143,586/x
  3. Step 3: Cross multiply
    228,529.08x = 315,332.64 × 143,586
  4. Step 4: Simplify right side
    228,529.08x = 45,277,352,447.04
  5. Step 5: Solve for x
    x = 45,277,352,447.04/228,529.08
  6. Step 6: Final answer
    x = 198,125.12

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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.