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Finding the Fourth Proportional to 315,812.10, 435,821.79 and 172,572.14

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Solution

The fourth proportional to 315,812.10, 435,821.79 and 172,572.14 is: 238,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,812.10 : 435,821.79 = 172,572.14 : x
  2. Step 2: Convert to fraction form
    315,812.10/435,821.79 = 172,572.14/x
  3. Step 3: Cross multiply
    315,812.10x = 435,821.79 × 172,572.14
  4. Step 4: Simplify right side
    315,812.10x = 75,210,696,779.82
  5. Step 5: Solve for x
    x = 75,210,696,779.82/315,812.10
  6. Step 6: Final answer
    x = 238,150.14

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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.