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Finding the Fourth Proportional to 515,948.24, 711,969.51 and 289,550

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Solution

The fourth proportional to 515,948.24, 711,969.51 and 289,550 is: 399,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,948.24 : 711,969.51 = 289,550 : x
  2. Step 2: Convert to fraction form
    515,948.24/711,969.51 = 289,550/x
  3. Step 3: Cross multiply
    515,948.24x = 711,969.51 × 289,550
  4. Step 4: Simplify right side
    515,948.24x = 206,150,771,620.50
  5. Step 5: Solve for x
    x = 206,150,771,620.50/515,948.24
  6. Step 6: Final answer
    x = 399,557.08

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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.