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Finding the Fourth Proportional to 288,574.23, 432,883.08 and 86,154.33

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Solution

The fourth proportional to 288,574.23, 432,883.08 and 86,154.33 is: 129,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,574.23 : 432,883.08 = 86,154.33 : x
  2. Step 2: Convert to fraction form
    288,574.23/432,883.08 = 86,154.33/x
  3. Step 3: Cross multiply
    288,574.23x = 432,883.08 × 86,154.33
  4. Step 4: Simplify right side
    288,574.23x = 37,294,751,725.74
  5. Step 5: Solve for x
    x = 37,294,751,725.74/288,574.23
  6. Step 6: Final answer
    x = 129,237.98

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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.