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Finding the Fourth Proportional to 380,603.64, 525,210.30 and 210,825.48

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Solution

The fourth proportional to 380,603.64, 525,210.30 and 210,825.48 is: 290,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,603.64 : 525,210.30 = 210,825.48 : x
  2. Step 2: Convert to fraction form
    380,603.64/525,210.30 = 210,825.48/x
  3. Step 3: Cross multiply
    380,603.64x = 525,210.30 × 210,825.48
  4. Step 4: Simplify right side
    380,603.64x = 110,727,713,598.44
  5. Step 5: Solve for x
    x = 110,727,713,598.44/380,603.64
  6. Step 6: Final answer
    x = 290,926.58

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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.