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Finding the Fourth Proportional to 353,790.16, 488,165.54 and 208,641.49

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Solution

The fourth proportional to 353,790.16, 488,165.54 and 208,641.49 is: 287,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,790.16 : 488,165.54 = 208,641.49 : x
  2. Step 2: Convert to fraction form
    353,790.16/488,165.54 = 208,641.49/x
  3. Step 3: Cross multiply
    353,790.16x = 488,165.54 × 208,641.49
  4. Step 4: Simplify right side
    353,790.16x = 101,851,583,368.63
  5. Step 5: Solve for x
    x = 101,851,583,368.63/353,790.16
  6. Step 6: Final answer
    x = 287,886.99

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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.