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Finding the Fourth Proportional to 470,897.76, 650,087.19 and 378,006.15

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Solution

The fourth proportional to 470,897.76, 650,087.19 and 378,006.15 is: 521,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.76 : 650,087.19 = 378,006.15 : x
  2. Step 2: Convert to fraction form
    470,897.76/650,087.19 = 378,006.15/x
  3. Step 3: Cross multiply
    470,897.76x = 650,087.19 × 378,006.15
  4. Step 4: Simplify right side
    470,897.76x = 245,736,955,856.22
  5. Step 5: Solve for x
    x = 245,736,955,856.22/470,897.76
  6. Step 6: Final answer
    x = 521,847.79

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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.