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Finding the Fourth Proportional to 515,393, 711,320.10 and 314,305.64

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Solution

The fourth proportional to 515,393, 711,320.10 and 314,305.64 is: 433,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,393 : 711,320.10 = 314,305.64 : x
  2. Step 2: Convert to fraction form
    515,393/711,320.10 = 314,305.64/x
  3. Step 3: Cross multiply
    515,393x = 711,320.10 × 314,305.64
  4. Step 4: Simplify right side
    515,393x = 223,571,919,275.36
  5. Step 5: Solve for x
    x = 223,571,919,275.36/515,393
  6. Step 6: Final answer
    x = 433,789.20

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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.