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Finding the Fourth Proportional to 311,838, 430,337.64 and 174,022.80

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Solution

The fourth proportional to 311,838, 430,337.64 and 174,022.80 is: 240,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838 : 430,337.64 = 174,022.80 : x
  2. Step 2: Convert to fraction form
    311,838/430,337.64 = 174,022.80/x
  3. Step 3: Cross multiply
    311,838x = 430,337.64 × 174,022.80
  4. Step 4: Simplify right side
    311,838x = 74,888,561,058.19
  5. Step 5: Solve for x
    x = 74,888,561,058.19/311,838
  6. Step 6: Final answer
    x = 240,152.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.