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Finding the Fourth Proportional to 298,709.40, 448,064.10 and 192,421.20

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Solution

The fourth proportional to 298,709.40, 448,064.10 and 192,421.20 is: 288,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,709.40 : 448,064.10 = 192,421.20 : x
  2. Step 2: Convert to fraction form
    298,709.40/448,064.10 = 192,421.20/x
  3. Step 3: Cross multiply
    298,709.40x = 448,064.10 × 192,421.20
  4. Step 4: Simplify right side
    298,709.40x = 86,217,031,798.92
  5. Step 5: Solve for x
    x = 86,217,031,798.92/298,709.40
  6. Step 6: Final answer
    x = 288,631.80

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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.