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Finding the Fourth Proportional to 380,356.92, 524,774.16 and 253,054.08

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Solution

The fourth proportional to 380,356.92, 524,774.16 and 253,054.08 is: 349,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,356.92 : 524,774.16 = 253,054.08 : x
  2. Step 2: Convert to fraction form
    380,356.92/524,774.16 = 253,054.08/x
  3. Step 3: Cross multiply
    380,356.92x = 524,774.16 × 253,054.08
  4. Step 4: Simplify right side
    380,356.92x = 132,796,242,266.57
  5. Step 5: Solve for x
    x = 132,796,242,266.57/380,356.92
  6. Step 6: Final answer
    x = 349,135.86

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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.