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Finding the Fourth Proportional to 299,559,643.40, 419,949,731.80 and 299,559,643.40

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Solution

The fourth proportional to 299,559,643.40, 419,949,731.80 and 299,559,643.40 is: 419,949,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,559,643.40 : 419,949,731.80 = 299,559,643.40 : x
  2. Step 2: Convert to fraction form
    299,559,643.40/419,949,731.80 = 299,559,643.40/x
  3. Step 3: Cross multiply
    299,559,643.40x = 419,949,731.80 × 299,559,643.40
  4. Step 4: Simplify right side
    299,559,643.40x = 125,799,991,903,933,632
  5. Step 5: Solve for x
    x = 125,799,991,903,933,632/299,559,643.40
  6. Step 6: Final answer
    x = 419,949,731.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.