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Finding the Fourth Proportional to 438,153.84, 657,255.56 and 213,706.31

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Solution

The fourth proportional to 438,153.84, 657,255.56 and 213,706.31 is: 320,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,153.84 : 657,255.56 = 213,706.31 : x
  2. Step 2: Convert to fraction form
    438,153.84/657,255.56 = 213,706.31/x
  3. Step 3: Cross multiply
    438,153.84x = 657,255.56 × 213,706.31
  4. Step 4: Simplify right side
    438,153.84x = 140,459,656,099.77
  5. Step 5: Solve for x
    x = 140,459,656,099.77/438,153.84
  6. Step 6: Final answer
    x = 320,571.55

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1.5x scale

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.