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Finding the Fourth Proportional to 389,405.88, 583,885.26 and 152,471.16

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Solution

The fourth proportional to 389,405.88, 583,885.26 and 152,471.16 is: 228,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,405.88 : 583,885.26 = 152,471.16 : x
  2. Step 2: Convert to fraction form
    389,405.88/583,885.26 = 152,471.16/x
  3. Step 3: Cross multiply
    389,405.88x = 583,885.26 × 152,471.16
  4. Step 4: Simplify right side
    389,405.88x = 89,025,662,899.10
  5. Step 5: Solve for x
    x = 89,025,662,899.10/389,405.88
  6. Step 6: Final answer
    x = 228,619.21

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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.