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Finding the Fourth Proportional to 285,988.40, 429,328.20 and 159,729.20

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Solution

The fourth proportional to 285,988.40, 429,328.20 and 159,729.20 is: 239,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,988.40 : 429,328.20 = 159,729.20 : x
  2. Step 2: Convert to fraction form
    285,988.40/429,328.20 = 159,729.20/x
  3. Step 3: Cross multiply
    285,988.40x = 429,328.20 × 159,729.20
  4. Step 4: Simplify right side
    285,988.40x = 68,576,249,923.44
  5. Step 5: Solve for x
    x = 68,576,249,923.44/285,988.40
  6. Step 6: Final answer
    x = 239,786.82

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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.