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Finding the Fourth Proportional to 315,172, 434,973.78 and 175,484.65

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Solution

The fourth proportional to 315,172, 434,973.78 and 175,484.65 is: 242,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,172 : 434,973.78 = 175,484.65 : x
  2. Step 2: Convert to fraction form
    315,172/434,973.78 = 175,484.65/x
  3. Step 3: Cross multiply
    315,172x = 434,973.78 × 175,484.65
  4. Step 4: Simplify right side
    315,172x = 76,331,221,542.48
  5. Step 5: Solve for x
    x = 76,331,221,542.48/315,172
  6. Step 6: Final answer
    x = 242,189.10

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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.