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Finding the Fourth Proportional to 934,983, 1,402,707.78 and 270,135

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Solution

The fourth proportional to 934,983, 1,402,707.78 and 270,135 is: 405,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,983 : 1,402,707.78 = 270,135 : x
  2. Step 2: Convert to fraction form
    934,983/1,402,707.78 = 270,135/x
  3. Step 3: Cross multiply
    934,983x = 1,402,707.78 × 270,135
  4. Step 4: Simplify right side
    934,983x = 378,920,466,150.30
  5. Step 5: Solve for x
    x = 378,920,466,150.30/934,983
  6. Step 6: Final answer
    x = 405,269.90

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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.