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Finding the Fourth Proportional to 1,899,440, 2,849,160 and 569,744

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Solution

The fourth proportional to 1,899,440, 2,849,160 and 569,744 is: 854,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899,440 : 2,849,160 = 569,744 : x
  2. Step 2: Convert to fraction form
    1,899,440/2,849,160 = 569,744/x
  3. Step 3: Cross multiply
    1,899,440x = 2,849,160 × 569,744
  4. Step 4: Simplify right side
    1,899,440x = 1,623,291,815,040
  5. Step 5: Solve for x
    x = 1,623,291,815,040/1,899,440
  6. Step 6: Final answer
    x = 854,616

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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.