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Finding the Fourth Proportional to 287,302.89, 396,469.86 and 156,477.57

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Solution

The fourth proportional to 287,302.89, 396,469.86 and 156,477.57 is: 215,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,302.89 : 396,469.86 = 156,477.57 : x
  2. Step 2: Convert to fraction form
    287,302.89/396,469.86 = 156,477.57/x
  3. Step 3: Cross multiply
    287,302.89x = 396,469.86 × 156,477.57
  4. Step 4: Simplify right side
    287,302.89x = 62,038,640,271.04
  5. Step 5: Solve for x
    x = 62,038,640,271.04/287,302.89
  6. Step 6: Final answer
    x = 215,934.62

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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.