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Finding the Fourth Proportional to 401,783.90, 602,656.32 and 149,113.61

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Solution

The fourth proportional to 401,783.90, 602,656.32 and 149,113.61 is: 223,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,783.90 : 602,656.32 = 149,113.61 : x
  2. Step 2: Convert to fraction form
    401,783.90/602,656.32 = 149,113.61/x
  3. Step 3: Cross multiply
    401,783.90x = 602,656.32 × 149,113.61
  4. Step 4: Simplify right side
    401,783.90x = 89,864,256,451.23
  5. Step 5: Solve for x
    x = 89,864,256,451.23/401,783.90
  6. Step 6: Final answer
    x = 223,663.16

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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.