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Finding the Fourth Proportional to 310,111.40, 464,871.80 and 99,601.74

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Solution

The fourth proportional to 310,111.40, 464,871.80 and 99,601.74 is: 149,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,111.40 : 464,871.80 = 99,601.74 : x
  2. Step 2: Convert to fraction form
    310,111.40/464,871.80 = 99,601.74/x
  3. Step 3: Cross multiply
    310,111.40x = 464,871.80 × 99,601.74
  4. Step 4: Simplify right side
    310,111.40x = 46,302,040,156.93
  5. Step 5: Solve for x
    x = 46,302,040,156.93/310,111.40
  6. Step 6: Final answer
    x = 149,307.77

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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.