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Finding the Fourth Proportional to 461,047, 636,220.32 and 257,118.88

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Solution

The fourth proportional to 461,047, 636,220.32 and 257,118.88 is: 354,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,047 : 636,220.32 = 257,118.88 : x
  2. Step 2: Convert to fraction form
    461,047/636,220.32 = 257,118.88/x
  3. Step 3: Cross multiply
    461,047x = 636,220.32 × 257,118.88
  4. Step 4: Simplify right side
    461,047x = 163,584,256,111.64
  5. Step 5: Solve for x
    x = 163,584,256,111.64/461,047
  6. Step 6: Final answer
    x = 354,810.37

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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.