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Finding the Fourth Proportional to 515,276.64, 711,022.32 and 311,450.40

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Solution

The fourth proportional to 515,276.64, 711,022.32 and 311,450.40 is: 429,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,276.64 : 711,022.32 = 311,450.40 : x
  2. Step 2: Convert to fraction form
    515,276.64/711,022.32 = 311,450.40/x
  3. Step 3: Cross multiply
    515,276.64x = 711,022.32 × 311,450.40
  4. Step 4: Simplify right side
    515,276.64x = 221,448,185,972.93
  5. Step 5: Solve for x
    x = 221,448,185,972.93/515,276.64
  6. Step 6: Final answer
    x = 429,765.62

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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.