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Finding the Fourth Proportional to 280,790, 387,489.48 and 153,466.46

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Solution

The fourth proportional to 280,790, 387,489.48 and 153,466.46 is: 211,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,790 : 387,489.48 = 153,466.46 : x
  2. Step 2: Convert to fraction form
    280,790/387,489.48 = 153,466.46/x
  3. Step 3: Cross multiply
    280,790x = 387,489.48 × 153,466.46
  4. Step 4: Simplify right side
    280,790x = 59,466,638,782.84
  5. Step 5: Solve for x
    x = 59,466,638,782.84/280,790
  6. Step 6: Final answer
    x = 211,783.32

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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.