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Finding the Fourth Proportional to 385,065.96, 531,228.30 and 257,782.56

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Solution

The fourth proportional to 385,065.96, 531,228.30 and 257,782.56 is: 355,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,065.96 : 531,228.30 = 257,782.56 : x
  2. Step 2: Convert to fraction form
    385,065.96/531,228.30 = 257,782.56/x
  3. Step 3: Cross multiply
    385,065.96x = 531,228.30 × 257,782.56
  4. Step 4: Simplify right side
    385,065.96x = 136,941,391,118.45
  5. Step 5: Solve for x
    x = 136,941,391,118.45/385,065.96
  6. Step 6: Final answer
    x = 355,631.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.