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Finding the Fourth Proportional to 355,038.96, 489,957.06 and 202,069.64

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Solution

The fourth proportional to 355,038.96, 489,957.06 and 202,069.64 is: 278,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,038.96 : 489,957.06 = 202,069.64 : x
  2. Step 2: Convert to fraction form
    355,038.96/489,957.06 = 202,069.64/x
  3. Step 3: Cross multiply
    355,038.96x = 489,957.06 × 202,069.64
  4. Step 4: Simplify right side
    355,038.96x = 99,005,446,729.66
  5. Step 5: Solve for x
    x = 99,005,446,729.66/355,038.96
  6. Step 6: Final answer
    x = 278,857.98

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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.