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Finding the Fourth Proportional to 305,568, 458,536.32 and 130,464

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Solution

The fourth proportional to 305,568, 458,536.32 and 130,464 is: 195,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,568 : 458,536.32 = 130,464 : x
  2. Step 2: Convert to fraction form
    305,568/458,536.32 = 130,464/x
  3. Step 3: Cross multiply
    305,568x = 458,536.32 × 130,464
  4. Step 4: Simplify right side
    305,568x = 59,822,482,452.48
  5. Step 5: Solve for x
    x = 59,822,482,452.48/305,568
  6. Step 6: Final answer
    x = 195,774.70

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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.