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Finding the Fourth Proportional to 369,147, 553,342.23 and 280,212.24

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Solution

The fourth proportional to 369,147, 553,342.23 and 280,212.24 is: 420,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,147 : 553,342.23 = 280,212.24 : x
  2. Step 2: Convert to fraction form
    369,147/553,342.23 = 280,212.24/x
  3. Step 3: Cross multiply
    369,147x = 553,342.23 × 280,212.24
  4. Step 4: Simplify right side
    369,147x = 155,053,265,754.90
  5. Step 5: Solve for x
    x = 155,053,265,754.90/369,147
  6. Step 6: Final answer
    x = 420,031.22

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1.5x scale

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.