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Finding the Fourth Proportional to 651,692.71, 899,079.36 and 406,534.80

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Solution

The fourth proportional to 651,692.71, 899,079.36 and 406,534.80 is: 560,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,692.71 : 899,079.36 = 406,534.80 : x
  2. Step 2: Convert to fraction form
    651,692.71/899,079.36 = 406,534.80/x
  3. Step 3: Cross multiply
    651,692.71x = 899,079.36 × 406,534.80
  4. Step 4: Simplify right side
    651,692.71x = 365,507,047,801.73
  5. Step 5: Solve for x
    x = 365,507,047,801.73/651,692.71
  6. Step 6: Final answer
    x = 560,857.97

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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.