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Finding the Fourth Proportional to 390,567, 584,904.47 and 270,286.91

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Solution

The fourth proportional to 390,567, 584,904.47 and 270,286.91 is: 404,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,567 : 584,904.47 = 270,286.91 : x
  2. Step 2: Convert to fraction form
    390,567/584,904.47 = 270,286.91/x
  3. Step 3: Cross multiply
    390,567x = 584,904.47 × 270,286.91
  4. Step 4: Simplify right side
    390,567x = 158,092,021,841.49
  5. Step 5: Solve for x
    x = 158,092,021,841.49/390,567
  6. Step 6: Final answer
    x = 404,775.68

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1.5x scale

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.