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Finding the Fourth Proportional to 334,990.25, 502,202.77 and 145,307.81

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Solution

The fourth proportional to 334,990.25, 502,202.77 and 145,307.81 is: 217,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,990.25 : 502,202.77 = 145,307.81 : x
  2. Step 2: Convert to fraction form
    334,990.25/502,202.77 = 145,307.81/x
  3. Step 3: Cross multiply
    334,990.25x = 502,202.77 × 145,307.81
  4. Step 4: Simplify right side
    334,990.25x = 72,973,982,751.98
  5. Step 5: Solve for x
    x = 72,973,982,751.98/334,990.25
  6. Step 6: Final answer
    x = 217,839.13

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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.