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Finding the Fourth Proportional to 722,705.64, 997,320.84 and 400,409.28

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Solution

The fourth proportional to 722,705.64, 997,320.84 and 400,409.28 is: 552,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,705.64 : 997,320.84 = 400,409.28 : x
  2. Step 2: Convert to fraction form
    722,705.64/997,320.84 = 400,409.28/x
  3. Step 3: Cross multiply
    722,705.64x = 997,320.84 × 400,409.28
  4. Step 4: Simplify right side
    722,705.64x = 399,336,519,473.40
  5. Step 5: Solve for x
    x = 399,336,519,473.40/722,705.64
  6. Step 6: Final answer
    x = 552,557.64

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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.