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Finding the Fourth Proportional to 391,176,006.40, 586,764,009.60 and 197,012,396.80

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Solution

The fourth proportional to 391,176,006.40, 586,764,009.60 and 197,012,396.80 is: 295,518,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,176,006.40 : 586,764,009.60 = 197,012,396.80 : x
  2. Step 2: Convert to fraction form
    391,176,006.40/586,764,009.60 = 197,012,396.80/x
  3. Step 3: Cross multiply
    391,176,006.40x = 586,764,009.60 × 197,012,396.80
  4. Step 4: Simplify right side
    391,176,006.40x = 115,599,783,887,274,224
  5. Step 5: Solve for x
    x = 115,599,783,887,274,224/391,176,006.40
  6. Step 6: Final answer
    x = 295,518,595.20

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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.