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Finding the Fourth Proportional to 385,643.90, 578,465.85 and 259,672.70

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Solution

The fourth proportional to 385,643.90, 578,465.85 and 259,672.70 is: 389,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,643.90 : 578,465.85 = 259,672.70 : x
  2. Step 2: Convert to fraction form
    385,643.90/578,465.85 = 259,672.70/x
  3. Step 3: Cross multiply
    385,643.90x = 578,465.85 × 259,672.70
  4. Step 4: Simplify right side
    385,643.90x = 150,211,789,127.30
  5. Step 5: Solve for x
    x = 150,211,789,127.30/385,643.90
  6. Step 6: Final answer
    x = 389,509.05

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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.