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Finding the Fourth Proportional to 389,578.60, 584,246.40 and 152,993.80

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Solution

The fourth proportional to 389,578.60, 584,246.40 and 152,993.80 is: 229,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,578.60 : 584,246.40 = 152,993.80 : x
  2. Step 2: Convert to fraction form
    389,578.60/584,246.40 = 152,993.80/x
  3. Step 3: Cross multiply
    389,578.60x = 584,246.40 × 152,993.80
  4. Step 4: Simplify right side
    389,578.60x = 89,386,076,872.32
  5. Step 5: Solve for x
    x = 89,386,076,872.32/389,578.60
  6. Step 6: Final answer
    x = 229,442.98

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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.