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Finding the Fourth Proportional to 515,970.66, 712,025.91 and 286,520.88

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Solution

The fourth proportional to 515,970.66, 712,025.91 and 286,520.88 is: 395,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,970.66 : 712,025.91 = 286,520.88 : x
  2. Step 2: Convert to fraction form
    515,970.66/712,025.91 = 286,520.88/x
  3. Step 3: Cross multiply
    515,970.66x = 712,025.91 × 286,520.88
  4. Step 4: Simplify right side
    515,970.66x = 204,010,290,316.00
  5. Step 5: Solve for x
    x = 204,010,290,316.00/515,970.66
  6. Step 6: Final answer
    x = 395,391.26

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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.