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Finding the Fourth Proportional to 515,969.15, 712,005.66 and 286,512.48

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Solution

The fourth proportional to 515,969.15, 712,005.66 and 286,512.48 is: 395,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,969.15 : 712,005.66 = 286,512.48 : x
  2. Step 2: Convert to fraction form
    515,969.15/712,005.66 = 286,512.48/x
  3. Step 3: Cross multiply
    515,969.15x = 712,005.66 × 286,512.48
  4. Step 4: Simplify right side
    515,969.15x = 203,998,507,420.64
  5. Step 5: Solve for x
    x = 203,998,507,420.64/515,969.15
  6. Step 6: Final answer
    x = 395,369.59

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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.