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Finding the Fourth Proportional to 312,681.62, 468,742.11 and 112,955.06

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Solution

The fourth proportional to 312,681.62, 468,742.11 and 112,955.06 is: 169,331.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,681.62 : 468,742.11 = 112,955.06 : x
  2. Step 2: Convert to fraction form
    312,681.62/468,742.11 = 112,955.06/x
  3. Step 3: Cross multiply
    312,681.62x = 468,742.11 × 112,955.06
  4. Step 4: Simplify right side
    312,681.62x = 52,946,793,159.58
  5. Step 5: Solve for x
    x = 52,946,793,159.58/312,681.62
  6. Step 6: Final answer
    x = 169,331.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.