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Finding the Fourth Proportional to 288,307.65, 397,862.18 and 157,485.41

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Solution

The fourth proportional to 288,307.65, 397,862.18 and 157,485.41 is: 217,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,307.65 : 397,862.18 = 157,485.41 : x
  2. Step 2: Convert to fraction form
    288,307.65/397,862.18 = 157,485.41/x
  3. Step 3: Cross multiply
    288,307.65x = 397,862.18 × 157,485.41
  4. Step 4: Simplify right side
    288,307.65x = 62,657,488,540.79
  5. Step 5: Solve for x
    x = 62,657,488,540.79/288,307.65
  6. Step 6: Final answer
    x = 217,328.57

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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.