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Finding the Fourth Proportional to 517,735.60, 776,603.40 and 143,758.60

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Solution

The fourth proportional to 517,735.60, 776,603.40 and 143,758.60 is: 215,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,735.60 : 776,603.40 = 143,758.60 : x
  2. Step 2: Convert to fraction form
    517,735.60/776,603.40 = 143,758.60/x
  3. Step 3: Cross multiply
    517,735.60x = 776,603.40 × 143,758.60
  4. Step 4: Simplify right side
    517,735.60x = 111,643,417,539.24
  5. Step 5: Solve for x
    x = 111,643,417,539.24/517,735.60
  6. Step 6: Final answer
    x = 215,637.90

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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.