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Finding the Fourth Proportional to 553,645.76, 764,031.08 and 298,996.90

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Solution

The fourth proportional to 553,645.76, 764,031.08 and 298,996.90 is: 412,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,645.76 : 764,031.08 = 298,996.90 : x
  2. Step 2: Convert to fraction form
    553,645.76/764,031.08 = 298,996.90/x
  3. Step 3: Cross multiply
    553,645.76x = 764,031.08 × 298,996.90
  4. Step 4: Simplify right side
    553,645.76x = 228,442,924,423.65
  5. Step 5: Solve for x
    x = 228,442,924,423.65/553,645.76
  6. Step 6: Final answer
    x = 412,615.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.