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Finding the Fourth Proportional to 380,756.64, 525,460.32 and 210,990.24

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Solution

The fourth proportional to 380,756.64, 525,460.32 and 210,990.24 is: 291,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,756.64 : 525,460.32 = 210,990.24 : x
  2. Step 2: Convert to fraction form
    380,756.64/525,460.32 = 210,990.24/x
  3. Step 3: Cross multiply
    380,756.64x = 525,460.32 × 210,990.24
  4. Step 4: Simplify right side
    380,756.64x = 110,866,999,027.28
  5. Step 5: Solve for x
    x = 110,866,999,027.28/380,756.64
  6. Step 6: Final answer
    x = 291,175.48

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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.