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Finding the Fourth Proportional to 389,348.56, 583,771.74 and 152,715.16

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Solution

The fourth proportional to 389,348.56, 583,771.74 and 152,715.16 is: 228,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,348.56 : 583,771.74 = 152,715.16 : x
  2. Step 2: Convert to fraction form
    389,348.56/583,771.74 = 152,715.16/x
  3. Step 3: Cross multiply
    389,348.56x = 583,771.74 × 152,715.16
  4. Step 4: Simplify right side
    389,348.56x = 89,150,794,677.58
  5. Step 5: Solve for x
    x = 89,150,794,677.58/389,348.56
  6. Step 6: Final answer
    x = 228,974.25

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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.