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Finding the Fourth Proportional to 517,765.71, 776,692.91 and 158,017.58

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Solution

The fourth proportional to 517,765.71, 776,692.91 and 158,017.58 is: 237,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,765.71 : 776,692.91 = 158,017.58 : x
  2. Step 2: Convert to fraction form
    517,765.71/776,692.91 = 158,017.58/x
  3. Step 3: Cross multiply
    517,765.71x = 776,692.91 × 158,017.58
  4. Step 4: Simplify right side
    517,765.71x = 122,731,130,552.94
  5. Step 5: Solve for x
    x = 122,731,130,552.94/517,765.71
  6. Step 6: Final answer
    x = 237,039.90

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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.