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Finding the Fourth Proportional to 458,315.66, 687,207.04 and 306,686.02

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Solution

The fourth proportional to 458,315.66, 687,207.04 and 306,686.02 is: 459,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,315.66 : 687,207.04 = 306,686.02 : x
  2. Step 2: Convert to fraction form
    458,315.66/687,207.04 = 306,686.02/x
  3. Step 3: Cross multiply
    458,315.66x = 687,207.04 × 306,686.02
  4. Step 4: Simplify right side
    458,315.66x = 210,756,792,013.58
  5. Step 5: Solve for x
    x = 210,756,792,013.58/458,315.66
  6. Step 6: Final answer
    x = 459,850.73

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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.