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Finding the Fourth Proportional to 189,440, 284,215.68 and 56,321.28

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Solution

The fourth proportional to 189,440, 284,215.68 and 56,321.28 is: 84,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,440 : 284,215.68 = 56,321.28 : x
  2. Step 2: Convert to fraction form
    189,440/284,215.68 = 56,321.28/x
  3. Step 3: Cross multiply
    189,440x = 284,215.68 × 56,321.28
  4. Step 4: Simplify right side
    189,440x = 16,007,390,893.67
  5. Step 5: Solve for x
    x = 16,007,390,893.67/189,440
  6. Step 6: Final answer
    x = 84,498.47

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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.