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Finding the Fourth Proportional to 697,579, 1,046,378.34 and 198,943

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Solution

The fourth proportional to 697,579, 1,046,378.34 and 198,943 is: 298,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,579 : 1,046,378.34 = 198,943 : x
  2. Step 2: Convert to fraction form
    697,579/1,046,378.34 = 198,943/x
  3. Step 3: Cross multiply
    697,579x = 1,046,378.34 × 198,943
  4. Step 4: Simplify right side
    697,579x = 208,169,646,094.62
  5. Step 5: Solve for x
    x = 208,169,646,094.62/697,579
  6. Step 6: Final answer
    x = 298,417.31

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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.