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Finding the Fourth Proportional to 291,648, 437,549.76 and 143,904

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Solution

The fourth proportional to 291,648, 437,549.76 and 143,904 is: 215,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,648 : 437,549.76 = 143,904 : x
  2. Step 2: Convert to fraction form
    291,648/437,549.76 = 143,904/x
  3. Step 3: Cross multiply
    291,648x = 437,549.76 × 143,904
  4. Step 4: Simplify right side
    291,648x = 62,965,160,663.04
  5. Step 5: Solve for x
    x = 62,965,160,663.04/291,648
  6. Step 6: Final answer
    x = 215,894.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.