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Finding the Fourth Proportional to 390,233.56, 585,341.18 and 179,871.48

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Solution

The fourth proportional to 390,233.56, 585,341.18 and 179,871.48 is: 269,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,233.56 : 585,341.18 = 179,871.48 : x
  2. Step 2: Convert to fraction form
    390,233.56/585,341.18 = 179,871.48/x
  3. Step 3: Cross multiply
    390,233.56x = 585,341.18 × 179,871.48
  4. Step 4: Simplify right side
    390,233.56x = 105,286,184,351.55
  5. Step 5: Solve for x
    x = 105,286,184,351.55/390,233.56
  6. Step 6: Final answer
    x = 269,803.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.