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Finding the Fourth Proportional to 516,722.96, 713,101.44 and 287,303.59

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Solution

The fourth proportional to 516,722.96, 713,101.44 and 287,303.59 is: 396,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,722.96 : 713,101.44 = 287,303.59 : x
  2. Step 2: Convert to fraction form
    516,722.96/713,101.44 = 287,303.59/x
  3. Step 3: Cross multiply
    516,722.96x = 713,101.44 × 287,303.59
  4. Step 4: Simplify right side
    516,722.96x = 204,876,601,963.42
  5. Step 5: Solve for x
    x = 204,876,601,963.42/516,722.96
  6. Step 6: Final answer
    x = 396,492.16

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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.