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Finding the Fourth Proportional to 661,300.32, 992,231.34 and 361,430.58

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Solution

The fourth proportional to 661,300.32, 992,231.34 and 361,430.58 is: 542,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,300.32 : 992,231.34 = 361,430.58 : x
  2. Step 2: Convert to fraction form
    661,300.32/992,231.34 = 361,430.58/x
  3. Step 3: Cross multiply
    661,300.32x = 992,231.34 × 361,430.58
  4. Step 4: Simplify right side
    661,300.32x = 358,622,748,710.38
  5. Step 5: Solve for x
    x = 358,622,748,710.38/661,300.32
  6. Step 6: Final answer
    x = 542,299.37

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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.