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Finding the Fourth Proportional to 257,944.50, 356,104.65 and 180,539.28

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Solution

The fourth proportional to 257,944.50, 356,104.65 and 180,539.28 is: 249,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,944.50 : 356,104.65 = 180,539.28 : x
  2. Step 2: Convert to fraction form
    257,944.50/356,104.65 = 180,539.28/x
  3. Step 3: Cross multiply
    257,944.50x = 356,104.65 × 180,539.28
  4. Step 4: Simplify right side
    257,944.50x = 64,290,877,792.67
  5. Step 5: Solve for x
    x = 64,290,877,792.67/257,944.50
  6. Step 6: Final answer
    x = 249,243.07

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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.