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Finding the Fourth Proportional to 478,091.66, 716,875.27 and 189,611.09

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Solution

The fourth proportional to 478,091.66, 716,875.27 and 189,611.09 is: 284,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,091.66 : 716,875.27 = 189,611.09 : x
  2. Step 2: Convert to fraction form
    478,091.66/716,875.27 = 189,611.09/x
  3. Step 3: Cross multiply
    478,091.66x = 716,875.27 × 189,611.09
  4. Step 4: Simplify right side
    478,091.66x = 135,927,501,338.74
  5. Step 5: Solve for x
    x = 135,927,501,338.74/478,091.66
  6. Step 6: Final answer
    x = 284,312.64

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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.