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Finding the Fourth Proportional to 307,870.38, 424,931.94 and 180,586.98

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Solution

The fourth proportional to 307,870.38, 424,931.94 and 180,586.98 is: 249,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,870.38 : 424,931.94 = 180,586.98 : x
  2. Step 2: Convert to fraction form
    307,870.38/424,931.94 = 180,586.98/x
  3. Step 3: Cross multiply
    307,870.38x = 424,931.94 × 180,586.98
  4. Step 4: Simplify right side
    307,870.38x = 76,737,175,750.14
  5. Step 5: Solve for x
    x = 76,737,175,750.14/307,870.38
  6. Step 6: Final answer
    x = 249,251.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.