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Finding the Fourth Proportional to 641,698.19, 963,493.46 and 357,943.13

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Solution

The fourth proportional to 641,698.19, 963,493.46 and 357,943.13 is: 537,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,698.19 : 963,493.46 = 357,943.13 : x
  2. Step 2: Convert to fraction form
    641,698.19/963,493.46 = 357,943.13/x
  3. Step 3: Cross multiply
    641,698.19x = 963,493.46 × 357,943.13
  4. Step 4: Simplify right side
    641,698.19x = 344,875,863,017.21
  5. Step 5: Solve for x
    x = 344,875,863,017.21/641,698.19
  6. Step 6: Final answer
    x = 537,442.47

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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.