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Finding the Fourth Proportional to 312,297, 468,458.46 and 90,681

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Solution

The fourth proportional to 312,297, 468,458.46 and 90,681 is: 136,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,297 : 468,458.46 = 90,681 : x
  2. Step 2: Convert to fraction form
    312,297/468,458.46 = 90,681/x
  3. Step 3: Cross multiply
    312,297x = 468,458.46 × 90,681
  4. Step 4: Simplify right side
    312,297x = 42,480,281,611.26
  5. Step 5: Solve for x
    x = 42,480,281,611.26/312,297
  6. Step 6: Final answer
    x = 136,025.26

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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.