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Finding the Fourth Proportional to 1,859,728, 2,789,592 and 458,896

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Solution

The fourth proportional to 1,859,728, 2,789,592 and 458,896 is: 688,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859,728 : 2,789,592 = 458,896 : x
  2. Step 2: Convert to fraction form
    1,859,728/2,789,592 = 458,896/x
  3. Step 3: Cross multiply
    1,859,728x = 2,789,592 × 458,896
  4. Step 4: Simplify right side
    1,859,728x = 1,280,132,610,432
  5. Step 5: Solve for x
    x = 1,280,132,610,432/1,859,728
  6. Step 6: Final answer
    x = 688,344

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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.