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Finding the Fourth Proportional to 515,675.40, 711,621 and 286,219.32

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Solution

The fourth proportional to 515,675.40, 711,621 and 286,219.32 is: 394,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,675.40 : 711,621 = 286,219.32 : x
  2. Step 2: Convert to fraction form
    515,675.40/711,621 = 286,219.32/x
  3. Step 3: Cross multiply
    515,675.40x = 711,621 × 286,219.32
  4. Step 4: Simplify right side
    515,675.40x = 203,679,678,717.72
  5. Step 5: Solve for x
    x = 203,679,678,717.72/515,675.40
  6. Step 6: Final answer
    x = 394,976.53

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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.