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Finding the Fourth Proportional to 515,703.36, 711,702 and 343,323.84

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Solution

The fourth proportional to 515,703.36, 711,702 and 343,323.84 is: 473,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,703.36 : 711,702 = 343,323.84 : x
  2. Step 2: Convert to fraction form
    515,703.36/711,702 = 343,323.84/x
  3. Step 3: Cross multiply
    515,703.36x = 711,702 × 343,323.84
  4. Step 4: Simplify right side
    515,703.36x = 244,344,263,575.68
  5. Step 5: Solve for x
    x = 244,344,263,575.68/515,703.36
  6. Step 6: Final answer
    x = 473,807.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.