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Finding the Fourth Proportional to 464,117.81, 640,471.01 and 257,385

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Solution

The fourth proportional to 464,117.81, 640,471.01 and 257,385 is: 355,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,117.81 : 640,471.01 = 257,385 : x
  2. Step 2: Convert to fraction form
    464,117.81/640,471.01 = 257,385/x
  3. Step 3: Cross multiply
    464,117.81x = 640,471.01 × 257,385
  4. Step 4: Simplify right side
    464,117.81x = 164,847,630,908.85
  5. Step 5: Solve for x
    x = 164,847,630,908.85/464,117.81
  6. Step 6: Final answer
    x = 355,184.88

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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.