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Finding the Fourth Proportional to 282,447.12, 390,030 and 210,702.48

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Solution

The fourth proportional to 282,447.12, 390,030 and 210,702.48 is: 290,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,447.12 : 390,030 = 210,702.48 : x
  2. Step 2: Convert to fraction form
    282,447.12/390,030 = 210,702.48/x
  3. Step 3: Cross multiply
    282,447.12x = 390,030 × 210,702.48
  4. Step 4: Simplify right side
    282,447.12x = 82,180,288,274.40
  5. Step 5: Solve for x
    x = 82,180,288,274.40/282,447.12
  6. Step 6: Final answer
    x = 290,958.14

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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.