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Finding the Fourth Proportional to 696,350, 1,042,905 and 677,194.40

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Solution

The fourth proportional to 696,350, 1,042,905 and 677,194.40 is: 1,014,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,350 : 1,042,905 = 677,194.40 : x
  2. Step 2: Convert to fraction form
    696,350/1,042,905 = 677,194.40/x
  3. Step 3: Cross multiply
    696,350x = 1,042,905 × 677,194.40
  4. Step 4: Simplify right side
    696,350x = 706,249,425,732
  5. Step 5: Solve for x
    x = 706,249,425,732/696,350
  6. Step 6: Final answer
    x = 1,014,216.16

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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.