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Finding the Fourth Proportional to 288,590.93, 432,886.40 and 78,228.87

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Solution

The fourth proportional to 288,590.93, 432,886.40 and 78,228.87 is: 117,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,590.93 : 432,886.40 = 78,228.87 : x
  2. Step 2: Convert to fraction form
    288,590.93/432,886.40 = 78,228.87/x
  3. Step 3: Cross multiply
    288,590.93x = 432,886.40 × 78,228.87
  4. Step 4: Simplify right side
    288,590.93x = 33,864,214,105.94
  5. Step 5: Solve for x
    x = 33,864,214,105.94/288,590.93
  6. Step 6: Final answer
    x = 117,343.31

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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.