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Finding the Fourth Proportional to 457,488.51, 686,421.19 and 201,189.32

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Solution

The fourth proportional to 457,488.51, 686,421.19 and 201,189.32 is: 301,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,488.51 : 686,421.19 = 201,189.32 : x
  2. Step 2: Convert to fraction form
    457,488.51/686,421.19 = 201,189.32/x
  3. Step 3: Cross multiply
    457,488.51x = 686,421.19 × 201,189.32
  4. Step 4: Simplify right side
    457,488.51x = 138,100,612,449.69
  5. Step 5: Solve for x
    x = 138,100,612,449.69/457,488.51
  6. Step 6: Final answer
    x = 301,866.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.