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Finding the Fourth Proportional to 380,621.84, 525,266.37 and 208,552.32

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Solution

The fourth proportional to 380,621.84, 525,266.37 and 208,552.32 is: 287,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,621.84 : 525,266.37 = 208,552.32 : x
  2. Step 2: Convert to fraction form
    380,621.84/525,266.37 = 208,552.32/x
  3. Step 3: Cross multiply
    380,621.84x = 525,266.37 × 208,552.32
  4. Step 4: Simplify right side
    380,621.84x = 109,545,520,081.48
  5. Step 5: Solve for x
    x = 109,545,520,081.48/380,621.84
  6. Step 6: Final answer
    x = 287,806.72

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1.5x scale

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.