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Finding the Fourth Proportional to 515,885.24, 711,886.93 and 286,430.66

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Solution

The fourth proportional to 515,885.24, 711,886.93 and 286,430.66 is: 395,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,885.24 : 711,886.93 = 286,430.66 : x
  2. Step 2: Convert to fraction form
    515,885.24/711,886.93 = 286,430.66/x
  3. Step 3: Cross multiply
    515,885.24x = 711,886.93 × 286,430.66
  4. Step 4: Simplify right side
    515,885.24x = 203,906,247,214.88
  5. Step 5: Solve for x
    x = 203,906,247,214.88/515,885.24
  6. Step 6: Final answer
    x = 395,255.05

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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.