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Finding the Fourth Proportional to 343,705.80, 514,521.90 and 302,233.80

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Solution

The fourth proportional to 343,705.80, 514,521.90 and 302,233.80 is: 452,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,705.80 : 514,521.90 = 302,233.80 : x
  2. Step 2: Convert to fraction form
    343,705.80/514,521.90 = 302,233.80/x
  3. Step 3: Cross multiply
    343,705.80x = 514,521.90 × 302,233.80
  4. Step 4: Simplify right side
    343,705.80x = 155,505,909,020.22
  5. Step 5: Solve for x
    x = 155,505,909,020.22/343,705.80
  6. Step 6: Final answer
    x = 452,439.00

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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.