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Finding the Fourth Proportional to 380,297.40, 524,807.10 and 210,527.16

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Solution

The fourth proportional to 380,297.40, 524,807.10 and 210,527.16 is: 290,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,297.40 : 524,807.10 = 210,527.16 : x
  2. Step 2: Convert to fraction form
    380,297.40/524,807.10 = 210,527.16/x
  3. Step 3: Cross multiply
    380,297.40x = 524,807.10 × 210,527.16
  4. Step 4: Simplify right side
    380,297.40x = 110,486,148,310.84
  5. Step 5: Solve for x
    x = 110,486,148,310.84/380,297.40
  6. Step 6: Final answer
    x = 290,525.65

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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.