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Finding the Fourth Proportional to 390,964.60, 586,331.70 and 154,228.60

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Solution

The fourth proportional to 390,964.60, 586,331.70 and 154,228.60 is: 231,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,964.60 : 586,331.70 = 154,228.60 : x
  2. Step 2: Convert to fraction form
    390,964.60/586,331.70 = 154,228.60/x
  3. Step 3: Cross multiply
    390,964.60x = 586,331.70 × 154,228.60
  4. Step 4: Simplify right side
    390,964.60x = 90,429,117,226.62
  5. Step 5: Solve for x
    x = 90,429,117,226.62/390,964.60
  6. Step 6: Final answer
    x = 231,297.46

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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.