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Finding the Fourth Proportional to 283,078.51, 390,652.19 and 154,018.51

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Solution

The fourth proportional to 283,078.51, 390,652.19 and 154,018.51 is: 212,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,078.51 : 390,652.19 = 154,018.51 : x
  2. Step 2: Convert to fraction form
    283,078.51/390,652.19 = 154,018.51/x
  3. Step 3: Cross multiply
    283,078.51x = 390,652.19 × 154,018.51
  4. Step 4: Simplify right side
    283,078.51x = 60,167,669,593.71
  5. Step 5: Solve for x
    x = 60,167,669,593.71/283,078.51
  6. Step 6: Final answer
    x = 212,547.64

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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.