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Finding the Fourth Proportional to 389,718.60, 584,456.40 and 153,133.80

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Solution

The fourth proportional to 389,718.60, 584,456.40 and 153,133.80 is: 229,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,718.60 : 584,456.40 = 153,133.80 : x
  2. Step 2: Convert to fraction form
    389,718.60/584,456.40 = 153,133.80/x
  3. Step 3: Cross multiply
    389,718.60x = 584,456.40 × 153,133.80
  4. Step 4: Simplify right side
    389,718.60x = 89,500,029,466.32
  5. Step 5: Solve for x
    x = 89,500,029,466.32/389,718.60
  6. Step 6: Final answer
    x = 229,652.96

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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.