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Finding the Fourth Proportional to 285,985.21, 428,980.88 and 86,307.39

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Solution

The fourth proportional to 285,985.21, 428,980.88 and 86,307.39 is: 129,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,985.21 : 428,980.88 = 86,307.39 : x
  2. Step 2: Convert to fraction form
    285,985.21/428,980.88 = 86,307.39/x
  3. Step 3: Cross multiply
    285,985.21x = 428,980.88 × 86,307.39
  4. Step 4: Simplify right side
    285,985.21x = 37,024,220,112.70
  5. Step 5: Solve for x
    x = 37,024,220,112.70/285,985.21
  6. Step 6: Final answer
    x = 129,462.01

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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.