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Finding the Fourth Proportional to 729,000.09, 1,006,018.65 and 406,690.96

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Solution

The fourth proportional to 729,000.09, 1,006,018.65 and 406,690.96 is: 561,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,000.09 : 1,006,018.65 = 406,690.96 : x
  2. Step 2: Convert to fraction form
    729,000.09/1,006,018.65 = 406,690.96/x
  3. Step 3: Cross multiply
    729,000.09x = 1,006,018.65 × 406,690.96
  4. Step 4: Simplify right side
    729,000.09x = 409,138,690,546.40
  5. Step 5: Solve for x
    x = 409,138,690,546.40/729,000.09
  6. Step 6: Final answer
    x = 561,232.70

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