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Finding the Fourth Proportional to 258,985.62, 357,602.85 and 202,557.78

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Solution

The fourth proportional to 258,985.62, 357,602.85 and 202,557.78 is: 279,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,985.62 : 357,602.85 = 202,557.78 : x
  2. Step 2: Convert to fraction form
    258,985.62/357,602.85 = 202,557.78/x
  3. Step 3: Cross multiply
    258,985.62x = 357,602.85 × 202,557.78
  4. Step 4: Simplify right side
    258,985.62x = 72,435,239,417.67
  5. Step 5: Solve for x
    x = 72,435,239,417.67/258,985.62
  6. Step 6: Final answer
    x = 279,688.27

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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.