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Finding the Fourth Proportional to 314,797.29, 472,128.62 and 90,097.40

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Solution

The fourth proportional to 314,797.29, 472,128.62 and 90,097.40 is: 135,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,797.29 : 472,128.62 = 90,097.40 : x
  2. Step 2: Convert to fraction form
    314,797.29/472,128.62 = 90,097.40/x
  3. Step 3: Cross multiply
    314,797.29x = 472,128.62 × 90,097.40
  4. Step 4: Simplify right side
    314,797.29x = 42,537,558,316.46
  5. Step 5: Solve for x
    x = 42,537,558,316.46/314,797.29
  6. Step 6: Final answer
    x = 135,126.83

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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.