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Finding the Fourth Proportional to 288,026.16, 431,987.28 and 77,614.96

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Solution

The fourth proportional to 288,026.16, 431,987.28 and 77,614.96 is: 116,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,026.16 : 431,987.28 = 77,614.96 : x
  2. Step 2: Convert to fraction form
    288,026.16/431,987.28 = 77,614.96/x
  3. Step 3: Cross multiply
    288,026.16x = 431,987.28 × 77,614.96
  4. Step 4: Simplify right side
    288,026.16x = 33,528,675,457.71
  5. Step 5: Solve for x
    x = 33,528,675,457.71/288,026.16
  6. Step 6: Final answer
    x = 116,408.44

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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.