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Finding the Fourth Proportional to 380,092.30, 524,505.64 and 210,316.30

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Solution

The fourth proportional to 380,092.30, 524,505.64 and 210,316.30 is: 290,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,092.30 : 524,505.64 = 210,316.30 : x
  2. Step 2: Convert to fraction form
    380,092.30/524,505.64 = 210,316.30/x
  3. Step 3: Cross multiply
    380,092.30x = 524,505.64 × 210,316.30
  4. Step 4: Simplify right side
    380,092.30x = 110,312,085,533.93
  5. Step 5: Solve for x
    x = 110,312,085,533.93/380,092.30
  6. Step 6: Final answer
    x = 290,224.47

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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.