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Finding the Fourth Proportional to 385,692.60, 578,538.90 and 105,209.40

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Solution

The fourth proportional to 385,692.60, 578,538.90 and 105,209.40 is: 157,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,692.60 : 578,538.90 = 105,209.40 : x
  2. Step 2: Convert to fraction form
    385,692.60/578,538.90 = 105,209.40/x
  3. Step 3: Cross multiply
    385,692.60x = 578,538.90 × 105,209.40
  4. Step 4: Simplify right side
    385,692.60x = 60,867,730,545.66
  5. Step 5: Solve for x
    x = 60,867,730,545.66/385,692.60
  6. Step 6: Final answer
    x = 157,814.10

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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.