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Finding the Fourth Proportional to 274,513.82, 378,830.39 and 153,657.50

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Solution

The fourth proportional to 274,513.82, 378,830.39 and 153,657.50 is: 212,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,513.82 : 378,830.39 = 153,657.50 : x
  2. Step 2: Convert to fraction form
    274,513.82/378,830.39 = 153,657.50/x
  3. Step 3: Cross multiply
    274,513.82x = 378,830.39 × 153,657.50
  4. Step 4: Simplify right side
    274,513.82x = 58,210,127,988.99
  5. Step 5: Solve for x
    x = 58,210,127,988.99/274,513.82
  6. Step 6: Final answer
    x = 212,048.08

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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.