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Finding the Fourth Proportional to 464,445.57, 640,872.86 and 257,710.53

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Solution

The fourth proportional to 464,445.57, 640,872.86 and 257,710.53 is: 355,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,445.57 : 640,872.86 = 257,710.53 : x
  2. Step 2: Convert to fraction form
    464,445.57/640,872.86 = 257,710.53/x
  3. Step 3: Cross multiply
    464,445.57x = 640,872.86 × 257,710.53
  4. Step 4: Simplify right side
    464,445.57x = 165,159,683,124.66
  5. Step 5: Solve for x
    x = 165,159,683,124.66/464,445.57
  6. Step 6: Final answer
    x = 355,606.11

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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.