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Finding the Fourth Proportional to 305,985.35, 458,649.87 and 147,996.47

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Solution

The fourth proportional to 305,985.35, 458,649.87 and 147,996.47 is: 221,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,985.35 : 458,649.87 = 147,996.47 : x
  2. Step 2: Convert to fraction form
    305,985.35/458,649.87 = 147,996.47/x
  3. Step 3: Cross multiply
    305,985.35x = 458,649.87 × 147,996.47
  4. Step 4: Simplify right side
    305,985.35x = 67,878,559,432.71
  5. Step 5: Solve for x
    x = 67,878,559,432.71/305,985.35
  6. Step 6: Final answer
    x = 221,835.98

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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.