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Finding the Fourth Proportional to 257,377.89, 385,838.44 and 97,341.89

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Solution

The fourth proportional to 257,377.89, 385,838.44 and 97,341.89 is: 145,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,377.89 : 385,838.44 = 97,341.89 : x
  2. Step 2: Convert to fraction form
    257,377.89/385,838.44 = 97,341.89/x
  3. Step 3: Cross multiply
    257,377.89x = 385,838.44 × 97,341.89
  4. Step 4: Simplify right side
    257,377.89x = 37,558,240,811.70
  5. Step 5: Solve for x
    x = 37,558,240,811.70/257,377.89
  6. Step 6: Final answer
    x = 145,926.45

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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.