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Finding the Fourth Proportional to 306,188.61, 458,731.80 and 288,176.82

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Solution

The fourth proportional to 306,188.61, 458,731.80 and 288,176.82 is: 431,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,188.61 : 458,731.80 = 288,176.82 : x
  2. Step 2: Convert to fraction form
    306,188.61/458,731.80 = 288,176.82/x
  3. Step 3: Cross multiply
    306,188.61x = 458,731.80 × 288,176.82
  4. Step 4: Simplify right side
    306,188.61x = 132,195,871,356.88
  5. Step 5: Solve for x
    x = 132,195,871,356.88/306,188.61
  6. Step 6: Final answer
    x = 431,746.53

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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.