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Finding the Fourth Proportional to 189,419.40, 284,173.56 and 56,300.76

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Solution

The fourth proportional to 189,419.40, 284,173.56 and 56,300.76 is: 84,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,419.40 : 284,173.56 = 56,300.76 : x
  2. Step 2: Convert to fraction form
    189,419.40/284,173.56 = 56,300.76/x
  3. Step 3: Cross multiply
    189,419.40x = 284,173.56 × 56,300.76
  4. Step 4: Simplify right side
    189,419.40x = 15,999,187,399.91
  5. Step 5: Solve for x
    x = 15,999,187,399.91/189,419.40
  6. Step 6: Final answer
    x = 84,464.35

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1.5x scale

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.