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Finding the Fourth Proportional to 282,768, 390,023.64 and 192,073.20

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Solution

The fourth proportional to 282,768, 390,023.64 and 192,073.20 is: 264,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,768 : 390,023.64 = 192,073.20 : x
  2. Step 2: Convert to fraction form
    282,768/390,023.64 = 192,073.20/x
  3. Step 3: Cross multiply
    282,768x = 390,023.64 × 192,073.20
  4. Step 4: Simplify right side
    282,768x = 74,913,088,610.45
  5. Step 5: Solve for x
    x = 74,913,088,610.45/282,768
  6. Step 6: Final answer
    x = 264,927.75

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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.