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Finding the Fourth Proportional to 553,077.66, 829,874.84 and 286,692.86

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Solution

The fourth proportional to 553,077.66, 829,874.84 and 286,692.86 is: 430,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,077.66 : 829,874.84 = 286,692.86 : x
  2. Step 2: Convert to fraction form
    553,077.66/829,874.84 = 286,692.86/x
  3. Step 3: Cross multiply
    553,077.66x = 829,874.84 × 286,692.86
  4. Step 4: Simplify right side
    553,077.66x = 237,919,191,321.64
  5. Step 5: Solve for x
    x = 237,919,191,321.64/553,077.66
  6. Step 6: Final answer
    x = 430,173.21

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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.