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Finding the Fourth Proportional to 709,442.91, 977,367.74 and 494,193.51

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Solution

The fourth proportional to 709,442.91, 977,367.74 and 494,193.51 is: 680,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,442.91 : 977,367.74 = 494,193.51 : x
  2. Step 2: Convert to fraction form
    709,442.91/977,367.74 = 494,193.51/x
  3. Step 3: Cross multiply
    709,442.91x = 977,367.74 × 494,193.51
  4. Step 4: Simplify right side
    709,442.91x = 483,008,791,520.40
  5. Step 5: Solve for x
    x = 483,008,791,520.40/709,442.91
  6. Step 6: Final answer
    x = 680,828.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.