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Finding the Fourth Proportional to 298,113.08, 447,029.28 and 87,709.10

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Solution

The fourth proportional to 298,113.08, 447,029.28 and 87,709.10 is: 131,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,113.08 : 447,029.28 = 87,709.10 : x
  2. Step 2: Convert to fraction form
    298,113.08/447,029.28 = 87,709.10/x
  3. Step 3: Cross multiply
    298,113.08x = 447,029.28 × 87,709.10
  4. Step 4: Simplify right side
    298,113.08x = 39,208,533,587.30
  5. Step 5: Solve for x
    x = 39,208,533,587.30/298,113.08
  6. Step 6: Final answer
    x = 131,522.35

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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.