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Finding the Fourth Proportional to 461,043, 636,214.80 and 257,114.88

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Solution

The fourth proportional to 461,043, 636,214.80 and 257,114.88 is: 354,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,043 : 636,214.80 = 257,114.88 : x
  2. Step 2: Convert to fraction form
    461,043/636,214.80 = 257,114.88/x
  3. Step 3: Cross multiply
    461,043x = 636,214.80 × 257,114.88
  4. Step 4: Simplify right side
    461,043x = 163,580,291,956.22
  5. Step 5: Solve for x
    x = 163,580,291,956.22/461,043
  6. Step 6: Final answer
    x = 354,804.85

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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.