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Finding the Fourth Proportional to 517,345.04, 713,928.84 and 290,990

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Solution

The fourth proportional to 517,345.04, 713,928.84 and 290,990 is: 401,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,345.04 : 713,928.84 = 290,990 : x
  2. Step 2: Convert to fraction form
    517,345.04/713,928.84 = 290,990/x
  3. Step 3: Cross multiply
    517,345.04x = 713,928.84 × 290,990
  4. Step 4: Simplify right side
    517,345.04x = 207,746,153,151.60
  5. Step 5: Solve for x
    x = 207,746,153,151.60/517,345.04
  6. Step 6: Final answer
    x = 401,562.09

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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.