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Finding the Fourth Proportional to 380,364, 524,918.72 and 210,598.13

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Solution

The fourth proportional to 380,364, 524,918.72 and 210,598.13 is: 290,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,364 : 524,918.72 = 210,598.13 : x
  2. Step 2: Convert to fraction form
    380,364/524,918.72 = 210,598.13/x
  3. Step 3: Cross multiply
    380,364x = 524,918.72 × 210,598.13
  4. Step 4: Simplify right side
    380,364x = 110,546,898,735.90
  5. Step 5: Solve for x
    x = 110,546,898,735.90/380,364
  6. Step 6: Final answer
    x = 290,634.49

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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.