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Finding the Fourth Proportional to 380,411.68, 524,961.68 and 210,642.16

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Solution

The fourth proportional to 380,411.68, 524,961.68 and 210,642.16 is: 290,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,411.68 : 524,961.68 = 210,642.16 : x
  2. Step 2: Convert to fraction form
    380,411.68/524,961.68 = 210,642.16/x
  3. Step 3: Cross multiply
    380,411.68x = 524,961.68 × 210,642.16
  4. Step 4: Simplify right side
    380,411.68x = 110,579,062,192.43
  5. Step 5: Solve for x
    x = 110,579,062,192.43/380,411.68
  6. Step 6: Final answer
    x = 290,682.62

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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.