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Finding the Fourth Proportional to 515,490.57, 711,381.02 and 286,048.76

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Solution

The fourth proportional to 515,490.57, 711,381.02 and 286,048.76 is: 394,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,490.57 : 711,381.02 = 286,048.76 : x
  2. Step 2: Convert to fraction form
    515,490.57/711,381.02 = 286,048.76/x
  3. Step 3: Cross multiply
    515,490.57x = 711,381.02 × 286,048.76
  4. Step 4: Simplify right side
    515,490.57x = 203,489,653,671.39
  5. Step 5: Solve for x
    x = 203,489,653,671.39/515,490.57
  6. Step 6: Final answer
    x = 394,749.52

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Double scale
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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.