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Finding the Fourth Proportional to 710,662.09, 1,065,689.69 and 411,349.27

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Solution

The fourth proportional to 710,662.09, 1,065,689.69 and 411,349.27 is: 616,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,662.09 : 1,065,689.69 = 411,349.27 : x
  2. Step 2: Convert to fraction form
    710,662.09/1,065,689.69 = 411,349.27/x
  3. Step 3: Cross multiply
    710,662.09x = 1,065,689.69 × 411,349.27
  4. Step 4: Simplify right side
    710,662.09x = 438,370,676,028.03
  5. Step 5: Solve for x
    x = 438,370,676,028.03/710,662.09
  6. Step 6: Final answer
    x = 616,848.26

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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.