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Finding the Fourth Proportional to 464,367.72, 640,782.64 and 260,427

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Solution

The fourth proportional to 464,367.72, 640,782.64 and 260,427 is: 359,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,367.72 : 640,782.64 = 260,427 : x
  2. Step 2: Convert to fraction form
    464,367.72/640,782.64 = 260,427/x
  3. Step 3: Cross multiply
    464,367.72x = 640,782.64 × 260,427
  4. Step 4: Simplify right side
    464,367.72x = 166,877,100,587.28
  5. Step 5: Solve for x
    x = 166,877,100,587.28/464,367.72
  6. Step 6: Final answer
    x = 359,364.13

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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.