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Finding the Fourth Proportional to 378,045.40, 521,696.80 and 208,285.60

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Solution

The fourth proportional to 378,045.40, 521,696.80 and 208,285.60 is: 287,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,045.40 : 521,696.80 = 208,285.60 : x
  2. Step 2: Convert to fraction form
    378,045.40/521,696.80 = 208,285.60/x
  3. Step 3: Cross multiply
    378,045.40x = 521,696.80 × 208,285.60
  4. Step 4: Simplify right side
    378,045.40x = 108,661,931,006.08
  5. Step 5: Solve for x
    x = 108,661,931,006.08/378,045.40
  6. Step 6: Final answer
    x = 287,430.90

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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.