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Finding the Fourth Proportional to 283,102.48, 390,669.66 and 154,041.46

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Solution

The fourth proportional to 283,102.48, 390,669.66 and 154,041.46 is: 212,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,102.48 : 390,669.66 = 154,041.46 : x
  2. Step 2: Convert to fraction form
    283,102.48/390,669.66 = 154,041.46/x
  3. Step 3: Cross multiply
    283,102.48x = 390,669.66 × 154,041.46
  4. Step 4: Simplify right side
    283,102.48x = 60,179,323,827.43
  5. Step 5: Solve for x
    x = 60,179,323,827.43/283,102.48
  6. Step 6: Final answer
    x = 212,570.81

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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.