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Finding the Fourth Proportional to 425,643.84, 638,461.92 and 162,987.84

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Solution

The fourth proportional to 425,643.84, 638,461.92 and 162,987.84 is: 244,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,643.84 : 638,461.92 = 162,987.84 : x
  2. Step 2: Convert to fraction form
    425,643.84/638,461.92 = 162,987.84/x
  3. Step 3: Cross multiply
    425,643.84x = 638,461.92 × 162,987.84
  4. Step 4: Simplify right side
    425,643.84x = 104,061,529,263.05
  5. Step 5: Solve for x
    x = 104,061,529,263.05/425,643.84
  6. Step 6: Final answer
    x = 244,480.29

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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.