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Finding the Fourth Proportional to 340,214.56, 469,415.98 and 285,972.90

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Solution

The fourth proportional to 340,214.56, 469,415.98 and 285,972.90 is: 394,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,214.56 : 469,415.98 = 285,972.90 : x
  2. Step 2: Convert to fraction form
    340,214.56/469,415.98 = 285,972.90/x
  3. Step 3: Cross multiply
    340,214.56x = 469,415.98 × 285,972.90
  4. Step 4: Simplify right side
    340,214.56x = 134,240,249,106.94
  5. Step 5: Solve for x
    x = 134,240,249,106.94/340,214.56
  6. Step 6: Final answer
    x = 394,575.26

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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.