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Finding the Fourth Proportional to 308,965.98, 463,457.07 and 98,603.76

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Solution

The fourth proportional to 308,965.98, 463,457.07 and 98,603.76 is: 147,908.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,965.98 : 463,457.07 = 98,603.76 : x
  2. Step 2: Convert to fraction form
    308,965.98/463,457.07 = 98,603.76/x
  3. Step 3: Cross multiply
    308,965.98x = 463,457.07 × 98,603.76
  4. Step 4: Simplify right side
    308,965.98x = 45,698,609,700.58
  5. Step 5: Solve for x
    x = 45,698,609,700.58/308,965.98
  6. Step 6: Final answer
    x = 147,908.23

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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.