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Finding the Fourth Proportional to 408,856.90, 609,089.60 and 390,412.75

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Solution

The fourth proportional to 408,856.90, 609,089.60 and 390,412.75 is: 581,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,856.90 : 609,089.60 = 390,412.75 : x
  2. Step 2: Convert to fraction form
    408,856.90/609,089.60 = 390,412.75/x
  3. Step 3: Cross multiply
    408,856.90x = 609,089.60 × 390,412.75
  4. Step 4: Simplify right side
    408,856.90x = 237,796,345,732.40
  5. Step 5: Solve for x
    x = 237,796,345,732.40/408,856.90
  6. Step 6: Final answer
    x = 581,612.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.