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Finding the Fourth Proportional to 390,641.62, 585,359.34 and 263,784.70

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Solution

The fourth proportional to 390,641.62, 585,359.34 and 263,784.70 is: 395,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,641.62 : 585,359.34 = 263,784.70 : x
  2. Step 2: Convert to fraction form
    390,641.62/585,359.34 = 263,784.70/x
  3. Step 3: Cross multiply
    390,641.62x = 585,359.34 × 263,784.70
  4. Step 4: Simplify right side
    390,641.62x = 154,408,837,894.10
  5. Step 5: Solve for x
    x = 154,408,837,894.10/390,641.62
  6. Step 6: Final answer
    x = 395,269.81

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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.