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Finding the Fourth Proportional to 385,590.60, 578,385.90 and 259,619.40

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Solution

The fourth proportional to 385,590.60, 578,385.90 and 259,619.40 is: 389,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,590.60 : 578,385.90 = 259,619.40 : x
  2. Step 2: Convert to fraction form
    385,590.60/578,385.90 = 259,619.40/x
  3. Step 3: Cross multiply
    385,590.60x = 578,385.90 × 259,619.40
  4. Step 4: Simplify right side
    385,590.60x = 150,160,200,326.46
  5. Step 5: Solve for x
    x = 150,160,200,326.46/385,590.60
  6. Step 6: Final answer
    x = 389,429.10

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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.