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Finding the Fourth Proportional to 437,564.53, 656,346.81 and 105,140.53

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Solution

The fourth proportional to 437,564.53, 656,346.81 and 105,140.53 is: 157,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,564.53 : 656,346.81 = 105,140.53 : x
  2. Step 2: Convert to fraction form
    437,564.53/656,346.81 = 105,140.53/x
  3. Step 3: Cross multiply
    437,564.53x = 656,346.81 × 105,140.53
  4. Step 4: Simplify right side
    437,564.53x = 69,008,652,681.92
  5. Step 5: Solve for x
    x = 69,008,652,681.92/437,564.53
  6. Step 6: Final answer
    x = 157,710.80

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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.