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Finding the Fourth Proportional to 280,045.62, 419,691.78 and 153,496.08

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Solution

The fourth proportional to 280,045.62, 419,691.78 and 153,496.08 is: 230,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,045.62 : 419,691.78 = 153,496.08 : x
  2. Step 2: Convert to fraction form
    280,045.62/419,691.78 = 153,496.08/x
  3. Step 3: Cross multiply
    280,045.62x = 419,691.78 × 153,496.08
  4. Step 4: Simplify right side
    280,045.62x = 64,421,043,038.22
  5. Step 5: Solve for x
    x = 64,421,043,038.22/280,045.62
  6. Step 6: Final answer
    x = 230,037.67

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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.