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Finding the Fourth Proportional to 648,619,138.66, 974,480,844 and 415,905,788.66

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Solution

The fourth proportional to 648,619,138.66, 974,480,844 and 415,905,788.66 is: 624,853,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,619,138.66 : 974,480,844 = 415,905,788.66 : x
  2. Step 2: Convert to fraction form
    648,619,138.66/974,480,844 = 415,905,788.66/x
  3. Step 3: Cross multiply
    648,619,138.66x = 974,480,844 × 415,905,788.66
  4. Step 4: Simplify right side
    648,619,138.66x = 405,292,223,957,882,432
  5. Step 5: Solve for x
    x = 405,292,223,957,882,432/648,619,138.66
  6. Step 6: Final answer
    x = 624,853,939.39

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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.