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Finding the Fourth Proportional to 288,615.60, 432,923.40 and 101,602.80

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Solution

The fourth proportional to 288,615.60, 432,923.40 and 101,602.80 is: 152,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,615.60 : 432,923.40 = 101,602.80 : x
  2. Step 2: Convert to fraction form
    288,615.60/432,923.40 = 101,602.80/x
  3. Step 3: Cross multiply
    288,615.60x = 432,923.40 × 101,602.80
  4. Step 4: Simplify right side
    288,615.60x = 43,986,229,625.52
  5. Step 5: Solve for x
    x = 43,986,229,625.52/288,615.60
  6. Step 6: Final answer
    x = 152,404.20

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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.