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Finding the Fourth Proportional to 369,456.80, 509,840.16 and 208,310.42

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Solution

The fourth proportional to 369,456.80, 509,840.16 and 208,310.42 is: 287,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,456.80 : 509,840.16 = 208,310.42 : x
  2. Step 2: Convert to fraction form
    369,456.80/509,840.16 = 208,310.42/x
  3. Step 3: Cross multiply
    369,456.80x = 509,840.16 × 208,310.42
  4. Step 4: Simplify right side
    369,456.80x = 106,205,017,862.47
  5. Step 5: Solve for x
    x = 106,205,017,862.47/369,456.80
  6. Step 6: Final answer
    x = 287,462.62

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1.5x scale

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.