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Finding the Fourth Proportional to 315,710.81, 435,681.20 and 172,473.24

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Solution

The fourth proportional to 315,710.81, 435,681.20 and 172,473.24 is: 238,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,710.81 : 435,681.20 = 172,473.24 : x
  2. Step 2: Convert to fraction form
    315,710.81/435,681.20 = 172,473.24/x
  3. Step 3: Cross multiply
    315,710.81x = 435,681.20 × 172,473.24
  4. Step 4: Simplify right side
    315,710.81x = 75,143,348,602.27
  5. Step 5: Solve for x
    x = 75,143,348,602.27/315,710.81
  6. Step 6: Final answer
    x = 238,013.23

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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.