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Finding the Fourth Proportional to 393,175, 589,762.50 and 97,687

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Solution

The fourth proportional to 393,175, 589,762.50 and 97,687 is: 146,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,175 : 589,762.50 = 97,687 : x
  2. Step 2: Convert to fraction form
    393,175/589,762.50 = 97,687/x
  3. Step 3: Cross multiply
    393,175x = 589,762.50 × 97,687
  4. Step 4: Simplify right side
    393,175x = 57,612,129,337.50
  5. Step 5: Solve for x
    x = 57,612,129,337.50/393,175
  6. Step 6: Final answer
    x = 146,530.50

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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.