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Finding the Fourth Proportional to 401,784.96, 602,657.90 and 149,114.66

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Solution

The fourth proportional to 401,784.96, 602,657.90 and 149,114.66 is: 223,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,784.96 : 602,657.90 = 149,114.66 : x
  2. Step 2: Convert to fraction form
    401,784.96/602,657.90 = 149,114.66/x
  3. Step 3: Cross multiply
    401,784.96x = 602,657.90 × 149,114.66
  4. Step 4: Simplify right side
    401,784.96x = 89,865,127,854.81
  5. Step 5: Solve for x
    x = 89,865,127,854.81/401,784.96
  6. Step 6: Final answer
    x = 223,664.74

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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.