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Finding the Fourth Proportional to 396,510, 546,820.80 and 260,490

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Solution

The fourth proportional to 396,510, 546,820.80 and 260,490 is: 359,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,510 : 546,820.80 = 260,490 : x
  2. Step 2: Convert to fraction form
    396,510/546,820.80 = 260,490/x
  3. Step 3: Cross multiply
    396,510x = 546,820.80 × 260,490
  4. Step 4: Simplify right side
    396,510x = 142,441,350,192
  5. Step 5: Solve for x
    x = 142,441,350,192/396,510
  6. Step 6: Final answer
    x = 359,237.72

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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.