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Finding the Fourth Proportional to 517,745.04, 714,321.36 and 291,346.80

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Solution

The fourth proportional to 517,745.04, 714,321.36 and 291,346.80 is: 401,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,745.04 : 714,321.36 = 291,346.80 : x
  2. Step 2: Convert to fraction form
    517,745.04/714,321.36 = 291,346.80/x
  3. Step 3: Cross multiply
    517,745.04x = 714,321.36 × 291,346.80
  4. Step 4: Simplify right side
    517,745.04x = 208,115,242,407.65
  5. Step 5: Solve for x
    x = 208,115,242,407.65/517,745.04
  6. Step 6: Final answer
    x = 401,964.72

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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.