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Finding the Fourth Proportional to 438,200.96, 604,744.98 and 247,144.64

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Solution

The fourth proportional to 438,200.96, 604,744.98 and 247,144.64 is: 341,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,200.96 : 604,744.98 = 247,144.64 : x
  2. Step 2: Convert to fraction form
    438,200.96/604,744.98 = 247,144.64/x
  3. Step 3: Cross multiply
    438,200.96x = 604,744.98 × 247,144.64
  4. Step 4: Simplify right side
    438,200.96x = 149,459,480,373.91
  5. Step 5: Solve for x
    x = 149,459,480,373.91/438,200.96
  6. Step 6: Final answer
    x = 341,075.20

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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.