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Finding the Fourth Proportional to 401,403, 602,144.86 and 105,915

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Solution

The fourth proportional to 401,403, 602,144.86 and 105,915 is: 158,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,403 : 602,144.86 = 105,915 : x
  2. Step 2: Convert to fraction form
    401,403/602,144.86 = 105,915/x
  3. Step 3: Cross multiply
    401,403x = 602,144.86 × 105,915
  4. Step 4: Simplify right side
    401,403x = 63,776,172,846.90
  5. Step 5: Solve for x
    x = 63,776,172,846.90/401,403
  6. Step 6: Final answer
    x = 158,883.15

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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.