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Finding the Fourth Proportional to 402,030.72, 603,111.60 and 135,807.12

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Solution

The fourth proportional to 402,030.72, 603,111.60 and 135,807.12 is: 203,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,030.72 : 603,111.60 = 135,807.12 : x
  2. Step 2: Convert to fraction form
    402,030.72/603,111.60 = 135,807.12/x
  3. Step 3: Cross multiply
    402,030.72x = 603,111.60 × 135,807.12
  4. Step 4: Simplify right side
    402,030.72x = 81,906,849,434.59
  5. Step 5: Solve for x
    x = 81,906,849,434.59/402,030.72
  6. Step 6: Final answer
    x = 203,732.81

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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.