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Finding the Fourth Proportional to 426,595.88, 639,828.06 and 142,291.40

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Solution

The fourth proportional to 426,595.88, 639,828.06 and 142,291.40 is: 213,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,595.88 : 639,828.06 = 142,291.40 : x
  2. Step 2: Convert to fraction form
    426,595.88/639,828.06 = 142,291.40/x
  3. Step 3: Cross multiply
    426,595.88x = 639,828.06 × 142,291.40
  4. Step 4: Simplify right side
    426,595.88x = 91,042,030,416.68
  5. Step 5: Solve for x
    x = 91,042,030,416.68/426,595.88
  6. Step 6: Final answer
    x = 213,415.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.