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Finding the Fourth Proportional to 517,029.75, 713,501.06 and 290,676.87

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Solution

The fourth proportional to 517,029.75, 713,501.06 and 290,676.87 is: 401,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,029.75 : 713,501.06 = 290,676.87 : x
  2. Step 2: Convert to fraction form
    517,029.75/713,501.06 = 290,676.87/x
  3. Step 3: Cross multiply
    517,029.75x = 713,501.06 × 290,676.87
  4. Step 4: Simplify right side
    517,029.75x = 207,398,253,409.10
  5. Step 5: Solve for x
    x = 207,398,253,409.10/517,029.75
  6. Step 6: Final answer
    x = 401,134.08

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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.