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Finding the Fourth Proportional to 257,602.59, 385,916.16 and 171,955.22

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Solution

The fourth proportional to 257,602.59, 385,916.16 and 171,955.22 is: 257,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,602.59 : 385,916.16 = 171,955.22 : x
  2. Step 2: Convert to fraction form
    257,602.59/385,916.16 = 171,955.22/x
  3. Step 3: Cross multiply
    257,602.59x = 385,916.16 × 171,955.22
  4. Step 4: Simplify right side
    257,602.59x = 66,360,296,909.61
  5. Step 5: Solve for x
    x = 66,360,296,909.61/257,602.59
  6. Step 6: Final answer
    x = 257,607.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.