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Finding the Fourth Proportional to 676,643.74, 1,014,647.74 and 392,415.06

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Solution

The fourth proportional to 676,643.74, 1,014,647.74 and 392,415.06 is: 588,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,643.74 : 1,014,647.74 = 392,415.06 : x
  2. Step 2: Convert to fraction form
    676,643.74/1,014,647.74 = 392,415.06/x
  3. Step 3: Cross multiply
    676,643.74x = 1,014,647.74 × 392,415.06
  4. Step 4: Simplify right side
    676,643.74x = 398,163,053,770.96
  5. Step 5: Solve for x
    x = 398,163,053,770.96/676,643.74
  6. Step 6: Final answer
    x = 588,438.24

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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.