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Finding the Fourth Proportional to 312,195.51, 430,829.78 and 168,955.58

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Solution

The fourth proportional to 312,195.51, 430,829.78 and 168,955.58 is: 233,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,195.51 : 430,829.78 = 168,955.58 : x
  2. Step 2: Convert to fraction form
    312,195.51/430,829.78 = 168,955.58/x
  3. Step 3: Cross multiply
    312,195.51x = 430,829.78 × 168,955.58
  4. Step 4: Simplify right side
    312,195.51x = 72,791,095,593.47
  5. Step 5: Solve for x
    x = 72,791,095,593.47/312,195.51
  6. Step 6: Final answer
    x = 233,158.69

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1.5x scale

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.