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Finding the Fourth Proportional to 390,426.65, 585,241.14 and 221,590.25

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Solution

The fourth proportional to 390,426.65, 585,241.14 and 221,590.25 is: 332,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,426.65 : 585,241.14 = 221,590.25 : x
  2. Step 2: Convert to fraction form
    390,426.65/585,241.14 = 221,590.25/x
  3. Step 3: Cross multiply
    390,426.65x = 585,241.14 × 221,590.25
  4. Step 4: Simplify right side
    390,426.65x = 129,683,727,596.68
  5. Step 5: Solve for x
    x = 129,683,727,596.68/390,426.65
  6. Step 6: Final answer
    x = 332,159.01

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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.