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Finding the Fourth Proportional to 462,762.90, 694,008.18 and 209,897.10

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Solution

The fourth proportional to 462,762.90, 694,008.18 and 209,897.10 is: 314,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,762.90 : 694,008.18 = 209,897.10 : x
  2. Step 2: Convert to fraction form
    462,762.90/694,008.18 = 209,897.10/x
  3. Step 3: Cross multiply
    462,762.90x = 694,008.18 × 209,897.10
  4. Step 4: Simplify right side
    462,762.90x = 145,670,304,358.28
  5. Step 5: Solve for x
    x = 145,670,304,358.28/462,762.90
  6. Step 6: Final answer
    x = 314,783.89

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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.