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Finding the Fourth Proportional to 257,349.53, 386,072.83 and 97,473.32

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Solution

The fourth proportional to 257,349.53, 386,072.83 and 97,473.32 is: 146,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,349.53 : 386,072.83 = 97,473.32 : x
  2. Step 2: Convert to fraction form
    257,349.53/386,072.83 = 97,473.32/x
  3. Step 3: Cross multiply
    257,349.53x = 386,072.83 × 97,473.32
  4. Step 4: Simplify right side
    257,349.53x = 37,631,802,312.81
  5. Step 5: Solve for x
    x = 37,631,802,312.81/257,349.53
  6. Step 6: Final answer
    x = 146,228.37

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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.