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Finding the Fourth Proportional to 288,149.04, 432,231.12 and 77,786.28

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Solution

The fourth proportional to 288,149.04, 432,231.12 and 77,786.28 is: 116,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,149.04 : 432,231.12 = 77,786.28 : x
  2. Step 2: Convert to fraction form
    288,149.04/432,231.12 = 77,786.28/x
  3. Step 3: Cross multiply
    288,149.04x = 432,231.12 × 77,786.28
  4. Step 4: Simplify right side
    288,149.04x = 33,621,650,925.03
  5. Step 5: Solve for x
    x = 33,621,650,925.03/288,149.04
  6. Step 6: Final answer
    x = 116,681.46

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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.