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Finding the Fourth Proportional to 501,524.12, 692,117.64 and 286,692.68

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Solution

The fourth proportional to 501,524.12, 692,117.64 and 286,692.68 is: 395,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,524.12 : 692,117.64 = 286,692.68 : x
  2. Step 2: Convert to fraction form
    501,524.12/692,117.64 = 286,692.68/x
  3. Step 3: Cross multiply
    501,524.12x = 692,117.64 × 286,692.68
  4. Step 4: Simplify right side
    501,524.12x = 198,425,057,626.29
  5. Step 5: Solve for x
    x = 198,425,057,626.29/501,524.12
  6. Step 6: Final answer
    x = 395,644.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.