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Finding the Fourth Proportional to 405,378, 608,165.42 and 124,895.25

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Solution

The fourth proportional to 405,378, 608,165.42 and 124,895.25 is: 187,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,378 : 608,165.42 = 124,895.25 : x
  2. Step 2: Convert to fraction form
    405,378/608,165.42 = 124,895.25/x
  3. Step 3: Cross multiply
    405,378x = 608,165.42 × 124,895.25
  4. Step 4: Simplify right side
    405,378x = 75,956,971,547.78
  5. Step 5: Solve for x
    x = 75,956,971,547.78/405,378
  6. Step 6: Final answer
    x = 187,373.20

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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.