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Finding the Fourth Proportional to 517,347.29, 713,931.94 and 290,992.25

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Solution

The fourth proportional to 517,347.29, 713,931.94 and 290,992.25 is: 401,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,347.29 : 713,931.94 = 290,992.25 : x
  2. Step 2: Convert to fraction form
    517,347.29/713,931.94 = 290,992.25/x
  3. Step 3: Cross multiply
    517,347.29x = 713,931.94 × 290,992.25
  4. Step 4: Simplify right side
    517,347.29x = 207,748,661,567.47
  5. Step 5: Solve for x
    x = 207,748,661,567.47/517,347.29
  6. Step 6: Final answer
    x = 401,565.19

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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.