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Finding the Fourth Proportional to 309,997.80, 465,287.76 and 152,339.40

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Solution

The fourth proportional to 309,997.80, 465,287.76 and 152,339.40 is: 228,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,997.80 : 465,287.76 = 152,339.40 : x
  2. Step 2: Convert to fraction form
    309,997.80/465,287.76 = 152,339.40/x
  3. Step 3: Cross multiply
    309,997.80x = 465,287.76 × 152,339.40
  4. Step 4: Simplify right side
    309,997.80x = 70,881,658,185.74
  5. Step 5: Solve for x
    x = 70,881,658,185.74/309,997.80
  6. Step 6: Final answer
    x = 228,652.13

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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.