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Finding the Fourth Proportional to 315,266.62, 435,064.32 and 172,029.06

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Solution

The fourth proportional to 315,266.62, 435,064.32 and 172,029.06 is: 237,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,266.62 : 435,064.32 = 172,029.06 : x
  2. Step 2: Convert to fraction form
    315,266.62/435,064.32 = 172,029.06/x
  3. Step 3: Cross multiply
    315,266.62x = 435,064.32 × 172,029.06
  4. Step 4: Simplify right side
    315,266.62x = 74,843,706,009.14
  5. Step 5: Solve for x
    x = 74,843,706,009.14/315,266.62
  6. Step 6: Final answer
    x = 237,398.13

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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.