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Finding the Fourth Proportional to 299,190,688.80, 448,786,033.20 and 105,132,055.20

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Solution

The fourth proportional to 299,190,688.80, 448,786,033.20 and 105,132,055.20 is: 157,698,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,190,688.80 : 448,786,033.20 = 105,132,055.20 : x
  2. Step 2: Convert to fraction form
    299,190,688.80/448,786,033.20 = 105,132,055.20/x
  3. Step 3: Cross multiply
    299,190,688.80x = 448,786,033.20 × 105,132,055.20
  4. Step 4: Simplify right side
    299,190,688.80x = 47,181,798,015,371,432
  5. Step 5: Solve for x
    x = 47,181,798,015,371,432/299,190,688.80
  6. Step 6: Final answer
    x = 157,698,082.80

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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.