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Finding the Fourth Proportional to 467,707.02, 645,005.13 and 306,503.52

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Solution

The fourth proportional to 467,707.02, 645,005.13 and 306,503.52 is: 422,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,707.02 : 645,005.13 = 306,503.52 : x
  2. Step 2: Convert to fraction form
    467,707.02/645,005.13 = 306,503.52/x
  3. Step 3: Cross multiply
    467,707.02x = 645,005.13 × 306,503.52
  4. Step 4: Simplify right side
    467,707.02x = 197,696,342,763.06
  5. Step 5: Solve for x
    x = 197,696,342,763.06/467,707.02
  6. Step 6: Final answer
    x = 422,692.70

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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.