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Finding the Fourth Proportional to 500,646.21, 750,969.30 and 121,564.38

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Solution

The fourth proportional to 500,646.21, 750,969.30 and 121,564.38 is: 182,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,646.21 : 750,969.30 = 121,564.38 : x
  2. Step 2: Convert to fraction form
    500,646.21/750,969.30 = 121,564.38/x
  3. Step 3: Cross multiply
    500,646.21x = 750,969.30 × 121,564.38
  4. Step 4: Simplify right side
    500,646.21x = 91,291,117,353.53
  5. Step 5: Solve for x
    x = 91,291,117,353.53/500,646.21
  6. Step 6: Final answer
    x = 182,346.57

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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.