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Finding the Fourth Proportional to 385,412.60, 577,341.30 and 259,441.40

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Solution

The fourth proportional to 385,412.60, 577,341.30 and 259,441.40 is: 388,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,412.60 : 577,341.30 = 259,441.40 : x
  2. Step 2: Convert to fraction form
    385,412.60/577,341.30 = 259,441.40/x
  3. Step 3: Cross multiply
    385,412.60x = 577,341.30 × 259,441.40
  4. Step 4: Simplify right side
    385,412.60x = 149,786,235,149.82
  5. Step 5: Solve for x
    x = 149,786,235,149.82/385,412.60
  6. Step 6: Final answer
    x = 388,638.66

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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.