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Finding the Fourth Proportional to 413,258.42, 618,472.14 and 287,040.98

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Solution

The fourth proportional to 413,258.42, 618,472.14 and 287,040.98 is: 429,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,258.42 : 618,472.14 = 287,040.98 : x
  2. Step 2: Convert to fraction form
    413,258.42/618,472.14 = 287,040.98/x
  3. Step 3: Cross multiply
    413,258.42x = 618,472.14 × 287,040.98
  4. Step 4: Simplify right side
    413,258.42x = 177,526,849,168.30
  5. Step 5: Solve for x
    x = 177,526,849,168.30/413,258.42
  6. Step 6: Final answer
    x = 429,578.30

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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.