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Finding the Fourth Proportional to 489,064.10, 732,721.35 and 419,080.10

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Solution

The fourth proportional to 489,064.10, 732,721.35 and 419,080.10 is: 627,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,064.10 : 732,721.35 = 419,080.10 : x
  2. Step 2: Convert to fraction form
    489,064.10/732,721.35 = 419,080.10/x
  3. Step 3: Cross multiply
    489,064.10x = 732,721.35 × 419,080.10
  4. Step 4: Simplify right side
    489,064.10x = 307,068,936,630.14
  5. Step 5: Solve for x
    x = 307,068,936,630.14/489,064.10
  6. Step 6: Final answer
    x = 627,870.53

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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.