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Finding the Fourth Proportional to 309,314.49, 463,963.10 and 98,965.05

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Solution

The fourth proportional to 309,314.49, 463,963.10 and 98,965.05 is: 148,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,314.49 : 463,963.10 = 98,965.05 : x
  2. Step 2: Convert to fraction form
    309,314.49/463,963.10 = 98,965.05/x
  3. Step 3: Cross multiply
    309,314.49x = 463,963.10 × 98,965.05
  4. Step 4: Simplify right side
    309,314.49x = 45,916,130,894.83
  5. Step 5: Solve for x
    x = 45,916,130,894.83/309,314.49
  6. Step 6: Final answer
    x = 148,444.81

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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.