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Finding the Fourth Proportional to 400,507.47, 552,698.82 and 216,745.65

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Solution

The fourth proportional to 400,507.47, 552,698.82 and 216,745.65 is: 299,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,507.47 : 552,698.82 = 216,745.65 : x
  2. Step 2: Convert to fraction form
    400,507.47/552,698.82 = 216,745.65/x
  3. Step 3: Cross multiply
    400,507.47x = 552,698.82 × 216,745.65
  4. Step 4: Simplify right side
    400,507.47x = 119,795,064,995.13
  5. Step 5: Solve for x
    x = 119,795,064,995.13/400,507.47
  6. Step 6: Final answer
    x = 299,108.19

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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.