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Finding the Fourth Proportional to 390,054.30, 585,081.45 and 311,322.30

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Solution

The fourth proportional to 390,054.30, 585,081.45 and 311,322.30 is: 466,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,054.30 : 585,081.45 = 311,322.30 : x
  2. Step 2: Convert to fraction form
    390,054.30/585,081.45 = 311,322.30/x
  3. Step 3: Cross multiply
    390,054.30x = 585,081.45 × 311,322.30
  4. Step 4: Simplify right side
    390,054.30x = 182,148,902,701.34
  5. Step 5: Solve for x
    x = 182,148,902,701.34/390,054.30
  6. Step 6: Final answer
    x = 466,983.45

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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.