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Finding the Fourth Proportional to 221,478,657.40, 332,217,986.10 and 221,478,657.40

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Solution

The fourth proportional to 221,478,657.40, 332,217,986.10 and 221,478,657.40 is: 332,217,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,478,657.40 : 332,217,986.10 = 221,478,657.40 : x
  2. Step 2: Convert to fraction form
    221,478,657.40/332,217,986.10 = 221,478,657.40/x
  3. Step 3: Cross multiply
    221,478,657.40x = 332,217,986.10 × 221,478,657.40
  4. Step 4: Simplify right side
    221,478,657.40x = 73,579,193,525,559,872
  5. Step 5: Solve for x
    x = 73,579,193,525,559,872/221,478,657.40
  6. Step 6: Final answer
    x = 332,217,986.10

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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.