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Finding the Fourth Proportional to 470,498.78, 648,101.10 and 379,600.38

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Solution

The fourth proportional to 470,498.78, 648,101.10 and 379,600.38 is: 522,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,498.78 : 648,101.10 = 379,600.38 : x
  2. Step 2: Convert to fraction form
    470,498.78/648,101.10 = 379,600.38/x
  3. Step 3: Cross multiply
    470,498.78x = 648,101.10 × 379,600.38
  4. Step 4: Simplify right side
    470,498.78x = 246,019,423,838.42
  5. Step 5: Solve for x
    x = 246,019,423,838.42/470,498.78
  6. Step 6: Final answer
    x = 522,890.67

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1.5x scale

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.