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Finding the Fourth Proportional to 371,648.10, 512,888.46 and 208,307.61

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Solution

The fourth proportional to 371,648.10, 512,888.46 and 208,307.61 is: 287,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,648.10 : 512,888.46 = 208,307.61 : x
  2. Step 2: Convert to fraction form
    371,648.10/512,888.46 = 208,307.61/x
  3. Step 3: Cross multiply
    371,648.10x = 512,888.46 × 208,307.61
  4. Step 4: Simplify right side
    371,648.10x = 106,838,569,299.18
  5. Step 5: Solve for x
    x = 106,838,569,299.18/371,648.10
  6. Step 6: Final answer
    x = 287,472.39

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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.