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Finding the Fourth Proportional to 518,114.20, 777,171.30 and 307,643.80

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Solution

The fourth proportional to 518,114.20, 777,171.30 and 307,643.80 is: 461,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,114.20 : 777,171.30 = 307,643.80 : x
  2. Step 2: Convert to fraction form
    518,114.20/777,171.30 = 307,643.80/x
  3. Step 3: Cross multiply
    518,114.20x = 777,171.30 × 307,643.80
  4. Step 4: Simplify right side
    518,114.20x = 239,091,931,982.94
  5. Step 5: Solve for x
    x = 239,091,931,982.94/518,114.20
  6. Step 6: Final answer
    x = 461,465.70

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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.