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Finding the Fourth Proportional to 712,205, 1,066,771.66 and 670,331.24

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Solution

The fourth proportional to 712,205, 1,066,771.66 and 670,331.24 is: 1,004,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,205 : 1,066,771.66 = 670,331.24 : x
  2. Step 2: Convert to fraction form
    712,205/1,066,771.66 = 670,331.24/x
  3. Step 3: Cross multiply
    712,205x = 1,066,771.66 × 670,331.24
  4. Step 4: Simplify right side
    712,205x = 715,090,369,644.66
  5. Step 5: Solve for x
    x = 715,090,369,644.66/712,205
  6. Step 6: Final answer
    x = 1,004,051.32

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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.