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Finding the Fourth Proportional to 489,095.20, 733,642.80 and 405,114.40

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Solution

The fourth proportional to 489,095.20, 733,642.80 and 405,114.40 is: 607,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,095.20 : 733,642.80 = 405,114.40 : x
  2. Step 2: Convert to fraction form
    489,095.20/733,642.80 = 405,114.40/x
  3. Step 3: Cross multiply
    489,095.20x = 733,642.80 × 405,114.40
  4. Step 4: Simplify right side
    489,095.20x = 297,209,262,736.32
  5. Step 5: Solve for x
    x = 297,209,262,736.32/489,095.20
  6. Step 6: Final answer
    x = 607,671.60

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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.