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Finding the Fourth Proportional to 380,415.98, 524,967.63 and 210,646.46

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Solution

The fourth proportional to 380,415.98, 524,967.63 and 210,646.46 is: 290,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,415.98 : 524,967.63 = 210,646.46 : x
  2. Step 2: Convert to fraction form
    380,415.98/524,967.63 = 210,646.46/x
  3. Step 3: Cross multiply
    380,415.98x = 524,967.63 × 210,646.46
  4. Step 4: Simplify right side
    380,415.98x = 110,582,572,874.09
  5. Step 5: Solve for x
    x = 110,582,572,874.09/380,415.98
  6. Step 6: Final answer
    x = 290,688.56

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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.