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Finding the Fourth Proportional to 228,543.84, 315,319.02 and 133,032.72

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Solution

The fourth proportional to 228,543.84, 315,319.02 and 133,032.72 is: 183,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,543.84 : 315,319.02 = 133,032.72 : x
  2. Step 2: Convert to fraction form
    228,543.84/315,319.02 = 133,032.72/x
  3. Step 3: Cross multiply
    228,543.84x = 315,319.02 × 133,032.72
  4. Step 4: Simplify right side
    228,543.84x = 41,947,746,898.33
  5. Step 5: Solve for x
    x = 41,947,746,898.33/228,543.84
  6. Step 6: Final answer
    x = 183,543.55

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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.