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Finding the Fourth Proportional to 720,382.94, 994,027.49 and 414,342.98

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Solution

The fourth proportional to 720,382.94, 994,027.49 and 414,342.98 is: 571,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,382.94 : 994,027.49 = 414,342.98 : x
  2. Step 2: Convert to fraction form
    720,382.94/994,027.49 = 414,342.98/x
  3. Step 3: Cross multiply
    720,382.94x = 994,027.49 × 414,342.98
  4. Step 4: Simplify right side
    720,382.94x = 411,868,312,408.52
  5. Step 5: Solve for x
    x = 411,868,312,408.52/720,382.94
  6. Step 6: Final answer
    x = 571,735.24

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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.