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Finding the Fourth Proportional to 315,287.80, 435,106.40 and 172,057.07

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Solution

The fourth proportional to 315,287.80, 435,106.40 and 172,057.07 is: 237,443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,287.80 : 435,106.40 = 172,057.07 : x
  2. Step 2: Convert to fraction form
    315,287.80/435,106.40 = 172,057.07/x
  3. Step 3: Cross multiply
    315,287.80x = 435,106.40 × 172,057.07
  4. Step 4: Simplify right side
    315,287.80x = 74,863,132,322.25
  5. Step 5: Solve for x
    x = 74,863,132,322.25/315,287.80
  6. Step 6: Final answer
    x = 237,443.80

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Why These Related Problems?

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