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Finding the Fourth Proportional to 517,991.52, 713,398.68 and 446,345.40

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Solution

The fourth proportional to 517,991.52, 713,398.68 and 446,345.40 is: 614,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,991.52 : 713,398.68 = 446,345.40 : x
  2. Step 2: Convert to fraction form
    517,991.52/713,398.68 = 446,345.40/x
  3. Step 3: Cross multiply
    517,991.52x = 713,398.68 × 446,345.40
  4. Step 4: Simplify right side
    517,991.52x = 318,422,219,184.07
  5. Step 5: Solve for x
    x = 318,422,219,184.07/517,991.52
  6. Step 6: Final answer
    x = 614,724.77

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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.