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Finding the Fourth Proportional to 375,664.74, 518,416.32 and 203,587.47

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Solution

The fourth proportional to 375,664.74, 518,416.32 and 203,587.47 is: 280,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,664.74 : 518,416.32 = 203,587.47 : x
  2. Step 2: Convert to fraction form
    375,664.74/518,416.32 = 203,587.47/x
  3. Step 3: Cross multiply
    375,664.74x = 518,416.32 × 203,587.47
  4. Step 4: Simplify right side
    375,664.74x = 105,543,066,995.51
  5. Step 5: Solve for x
    x = 105,543,066,995.51/375,664.74
  6. Step 6: Final answer
    x = 280,950.16

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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.