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Finding the Fourth Proportional to 417,692.90, 626,539.35 and 102,145.70

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Solution

The fourth proportional to 417,692.90, 626,539.35 and 102,145.70 is: 153,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,692.90 : 626,539.35 = 102,145.70 : x
  2. Step 2: Convert to fraction form
    417,692.90/626,539.35 = 102,145.70/x
  3. Step 3: Cross multiply
    417,692.90x = 626,539.35 × 102,145.70
  4. Step 4: Simplify right side
    417,692.90x = 63,998,300,483.30
  5. Step 5: Solve for x
    x = 63,998,300,483.30/417,692.90
  6. Step 6: Final answer
    x = 153,218.55

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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.