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Finding the Fourth Proportional to 288,726.72, 433,090.08 and 140,856

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Solution

The fourth proportional to 288,726.72, 433,090.08 and 140,856 is: 211,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,726.72 : 433,090.08 = 140,856 : x
  2. Step 2: Convert to fraction form
    288,726.72/433,090.08 = 140,856/x
  3. Step 3: Cross multiply
    288,726.72x = 433,090.08 × 140,856
  4. Step 4: Simplify right side
    288,726.72x = 61,003,336,308.48
  5. Step 5: Solve for x
    x = 61,003,336,308.48/288,726.72
  6. Step 6: Final answer
    x = 211,284.00

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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.