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Finding the Fourth Proportional to 641,426, 962,119.14 and 304,709

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Solution

The fourth proportional to 641,426, 962,119.14 and 304,709 is: 457,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,426 : 962,119.14 = 304,709 : x
  2. Step 2: Convert to fraction form
    641,426/962,119.14 = 304,709/x
  3. Step 3: Cross multiply
    641,426x = 962,119.14 × 304,709
  4. Step 4: Simplify right side
    641,426x = 293,166,361,030.26
  5. Step 5: Solve for x
    x = 293,166,361,030.26/641,426
  6. Step 6: Final answer
    x = 457,054.07

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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.