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Finding the Fourth Proportional to 309,259.84, 463,860.48 and 98,841.28

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Solution

The fourth proportional to 309,259.84, 463,860.48 and 98,841.28 is: 148,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,259.84 : 463,860.48 = 98,841.28 : x
  2. Step 2: Convert to fraction form
    309,259.84/463,860.48 = 98,841.28/x
  3. Step 3: Cross multiply
    309,259.84x = 463,860.48 × 98,841.28
  4. Step 4: Simplify right side
    309,259.84x = 45,848,563,584.61
  5. Step 5: Solve for x
    x = 45,848,563,584.61/309,259.84
  6. Step 6: Final answer
    x = 148,252.56

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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.