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Finding the Fourth Proportional to 684,856.32, 945,050.40 and 382,992

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Solution

The fourth proportional to 684,856.32, 945,050.40 and 382,992 is: 528,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,856.32 : 945,050.40 = 382,992 : x
  2. Step 2: Convert to fraction form
    684,856.32/945,050.40 = 382,992/x
  3. Step 3: Cross multiply
    684,856.32x = 945,050.40 × 382,992
  4. Step 4: Simplify right side
    684,856.32x = 361,946,742,796.80
  5. Step 5: Solve for x
    x = 361,946,742,796.80/684,856.32
  6. Step 6: Final answer
    x = 528,500.26

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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.