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Finding the Fourth Proportional to 390,790.12, 538,702.48 and 305,759.56

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Solution

The fourth proportional to 390,790.12, 538,702.48 and 305,759.56 is: 421,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,790.12 : 538,702.48 = 305,759.56 : x
  2. Step 2: Convert to fraction form
    390,790.12/538,702.48 = 305,759.56/x
  3. Step 3: Cross multiply
    390,790.12x = 538,702.48 × 305,759.56
  4. Step 4: Simplify right side
    390,790.12x = 164,713,433,255.71
  5. Step 5: Solve for x
    x = 164,713,433,255.71/390,790.12
  6. Step 6: Final answer
    x = 421,488.22

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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.