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Finding the Fourth Proportional to 684,194.32, 943,572.72 and 442,222.48

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Solution

The fourth proportional to 684,194.32, 943,572.72 and 442,222.48 is: 609,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,194.32 : 943,572.72 = 442,222.48 : x
  2. Step 2: Convert to fraction form
    684,194.32/943,572.72 = 442,222.48/x
  3. Step 3: Cross multiply
    684,194.32x = 943,572.72 × 442,222.48
  4. Step 4: Simplify right side
    684,194.32x = 417,269,068,298.75
  5. Step 5: Solve for x
    x = 417,269,068,298.75/684,194.32
  6. Step 6: Final answer
    x = 609,869.24

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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.