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Finding the Fourth Proportional to 515,399, 711,328.38 and 314,311.64

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Solution

The fourth proportional to 515,399, 711,328.38 and 314,311.64 is: 433,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,399 : 711,328.38 = 314,311.64 : x
  2. Step 2: Convert to fraction form
    515,399/711,328.38 = 314,311.64/x
  3. Step 3: Cross multiply
    515,399x = 711,328.38 × 314,311.64
  4. Step 4: Simplify right side
    515,399x = 223,578,789,696.34
  5. Step 5: Solve for x
    x = 223,578,789,696.34/515,399
  6. Step 6: Final answer
    x = 433,797.48

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1.5x scale

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.