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Finding the Fourth Proportional to 401,400.48, 602,105.04 and 120,920.16

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Solution

The fourth proportional to 401,400.48, 602,105.04 and 120,920.16 is: 181,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,400.48 : 602,105.04 = 120,920.16 : x
  2. Step 2: Convert to fraction form
    401,400.48/602,105.04 = 120,920.16/x
  3. Step 3: Cross multiply
    401,400.48x = 602,105.04 × 120,920.16
  4. Step 4: Simplify right side
    401,400.48x = 72,806,637,773.61
  5. Step 5: Solve for x
    x = 72,806,637,773.61/401,400.48
  6. Step 6: Final answer
    x = 181,381.54

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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.