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Finding the Fourth Proportional to 385,622.64, 577,680.66 and 265,658.40

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Solution

The fourth proportional to 385,622.64, 577,680.66 and 265,658.40 is: 397,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,622.64 : 577,680.66 = 265,658.40 : x
  2. Step 2: Convert to fraction form
    385,622.64/577,680.66 = 265,658.40/x
  3. Step 3: Cross multiply
    385,622.64x = 577,680.66 × 265,658.40
  4. Step 4: Simplify right side
    385,622.64x = 153,465,719,846.54
  5. Step 5: Solve for x
    x = 153,465,719,846.54/385,622.64
  6. Step 6: Final answer
    x = 397,968.65

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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.