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Finding the Fourth Proportional to 289,344,161.60, 434,064,064.80 and 134,053,164.80

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Solution

The fourth proportional to 289,344,161.60, 434,064,064.80 and 134,053,164.80 is: 201,101,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,344,161.60 : 434,064,064.80 = 134,053,164.80 : x
  2. Step 2: Convert to fraction form
    289,344,161.60/434,064,064.80 = 134,053,164.80/x
  3. Step 3: Cross multiply
    289,344,161.60x = 434,064,064.80 × 134,053,164.80
  4. Step 4: Simplify right side
    289,344,161.60x = 58,187,661,612,392,280
  5. Step 5: Solve for x
    x = 58,187,661,612,392,280/289,344,161.60
  6. Step 6: Final answer
    x = 201,101,903.32

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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.