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Finding the Fourth Proportional to 386,568.51, 533,462.94 and 216,802.77

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Solution

The fourth proportional to 386,568.51, 533,462.94 and 216,802.77 is: 299,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,568.51 : 533,462.94 = 216,802.77 : x
  2. Step 2: Convert to fraction form
    386,568.51/533,462.94 = 216,802.77/x
  3. Step 3: Cross multiply
    386,568.51x = 533,462.94 × 216,802.77
  4. Step 4: Simplify right side
    386,568.51x = 115,656,243,084.34
  5. Step 5: Solve for x
    x = 115,656,243,084.34/386,568.51
  6. Step 6: Final answer
    x = 299,186.92

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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.