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Finding the Fourth Proportional to 390,879.40, 586,319.10 and 264,908.20

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Solution

The fourth proportional to 390,879.40, 586,319.10 and 264,908.20 is: 397,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,879.40 : 586,319.10 = 264,908.20 : x
  2. Step 2: Convert to fraction form
    390,879.40/586,319.10 = 264,908.20/x
  3. Step 3: Cross multiply
    390,879.40x = 586,319.10 × 264,908.20
  4. Step 4: Simplify right side
    390,879.40x = 155,320,737,406.62
  5. Step 5: Solve for x
    x = 155,320,737,406.62/390,879.40
  6. Step 6: Final answer
    x = 397,362.30

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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.