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Finding the Fourth Proportional to 515,428.68, 711,289.44 and 289,074.18

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Solution

The fourth proportional to 515,428.68, 711,289.44 and 289,074.18 is: 398,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,428.68 : 711,289.44 = 289,074.18 : x
  2. Step 2: Convert to fraction form
    515,428.68/711,289.44 = 289,074.18/x
  3. Step 3: Cross multiply
    515,428.68x = 711,289.44 × 289,074.18
  4. Step 4: Simplify right side
    515,428.68x = 205,615,411,610.66
  5. Step 5: Solve for x
    x = 205,615,411,610.66/515,428.68
  6. Step 6: Final answer
    x = 398,921.17

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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.