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Finding the Fourth Proportional to 369,148, 553,343.73 and 280,213.24

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Solution

The fourth proportional to 369,148, 553,343.73 and 280,213.24 is: 420,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,148 : 553,343.73 = 280,213.24 : x
  2. Step 2: Convert to fraction form
    369,148/553,343.73 = 280,213.24/x
  3. Step 3: Cross multiply
    369,148x = 553,343.73 × 280,213.24
  4. Step 4: Simplify right side
    369,148x = 155,054,239,416.99
  5. Step 5: Solve for x
    x = 155,054,239,416.99/369,148
  6. Step 6: Final answer
    x = 420,032.72

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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.