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Finding the Fourth Proportional to 684,354.64, 944,370.96 and 378,413.20

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Solution

The fourth proportional to 684,354.64, 944,370.96 and 378,413.20 is: 522,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,354.64 : 944,370.96 = 378,413.20 : x
  2. Step 2: Convert to fraction form
    684,354.64/944,370.96 = 378,413.20/x
  3. Step 3: Cross multiply
    684,354.64x = 944,370.96 × 378,413.20
  4. Step 4: Simplify right side
    684,354.64x = 357,362,436,960.67
  5. Step 5: Solve for x
    x = 357,362,436,960.67/684,354.64
  6. Step 6: Final answer
    x = 522,188.96

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1.5x scale

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.