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Finding the Fourth Proportional to 405,878.64, 608,894.52 and 125,330.40

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Solution

The fourth proportional to 405,878.64, 608,894.52 and 125,330.40 is: 188,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,878.64 : 608,894.52 = 125,330.40 : x
  2. Step 2: Convert to fraction form
    405,878.64/608,894.52 = 125,330.40/x
  3. Step 3: Cross multiply
    405,878.64x = 608,894.52 × 125,330.40
  4. Step 4: Simplify right side
    405,878.64x = 76,312,993,749.41
  5. Step 5: Solve for x
    x = 76,312,993,749.41/405,878.64
  6. Step 6: Final answer
    x = 188,019.24

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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.