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Finding the Fourth Proportional to 690,683, 1,036,172.70 and 391,307

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Solution

The fourth proportional to 690,683, 1,036,172.70 and 391,307 is: 587,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,683 : 1,036,172.70 = 391,307 : x
  2. Step 2: Convert to fraction form
    690,683/1,036,172.70 = 391,307/x
  3. Step 3: Cross multiply
    690,683x = 1,036,172.70 × 391,307
  4. Step 4: Simplify right side
    690,683x = 405,461,630,718.90
  5. Step 5: Solve for x
    x = 405,461,630,718.90/690,683
  6. Step 6: Final answer
    x = 587,044.46

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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.