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Finding the Fourth Proportional to 343,807.20, 514,252.80 and 308,523.60

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Solution

The fourth proportional to 343,807.20, 514,252.80 and 308,523.60 is: 461,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,807.20 : 514,252.80 = 308,523.60 : x
  2. Step 2: Convert to fraction form
    343,807.20/514,252.80 = 308,523.60/x
  3. Step 3: Cross multiply
    343,807.20x = 514,252.80 × 308,523.60
  4. Step 4: Simplify right side
    343,807.20x = 158,659,125,166.08
  5. Step 5: Solve for x
    x = 158,659,125,166.08/343,807.20
  6. Step 6: Final answer
    x = 461,477.03

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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.