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Finding the Fourth Proportional to 346,745.36, 478,501.80 and 193,784.96

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Solution

The fourth proportional to 346,745.36, 478,501.80 and 193,784.96 is: 267,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,745.36 : 478,501.80 = 193,784.96 : x
  2. Step 2: Convert to fraction form
    346,745.36/478,501.80 = 193,784.96/x
  3. Step 3: Cross multiply
    346,745.36x = 478,501.80 × 193,784.96
  4. Step 4: Simplify right side
    346,745.36x = 92,726,452,172.93
  5. Step 5: Solve for x
    x = 92,726,452,172.93/346,745.36
  6. Step 6: Final answer
    x = 267,419.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.