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Finding the Fourth Proportional to 199,872,047.80, 299,808,071.70 and 154,466,428.60

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Solution

The fourth proportional to 199,872,047.80, 299,808,071.70 and 154,466,428.60 is: 231,699,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,872,047.80 : 299,808,071.70 = 154,466,428.60 : x
  2. Step 2: Convert to fraction form
    199,872,047.80/299,808,071.70 = 154,466,428.60/x
  3. Step 3: Cross multiply
    199,872,047.80x = 299,808,071.70 × 154,466,428.60
  4. Step 4: Simplify right side
    199,872,047.80x = 46,310,282,100,951,728
  5. Step 5: Solve for x
    x = 46,310,282,100,951,728/199,872,047.80
  6. Step 6: Final answer
    x = 231,699,642.90

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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.