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Finding the Fourth Proportional to 461,509.83, 636,915.48 and 257,600.43

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Solution

The fourth proportional to 461,509.83, 636,915.48 and 257,600.43 is: 355,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,509.83 : 636,915.48 = 257,600.43 : x
  2. Step 2: Convert to fraction form
    461,509.83/636,915.48 = 257,600.43/x
  3. Step 3: Cross multiply
    461,509.83x = 636,915.48 × 257,600.43
  4. Step 4: Simplify right side
    461,509.83x = 164,069,701,521.66
  5. Step 5: Solve for x
    x = 164,069,701,521.66/461,509.83
  6. Step 6: Final answer
    x = 355,506.41

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1.5x scale

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.