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Finding the Fourth Proportional to 214,281.22, 321,424.57 and 147,703.48

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Solution

The fourth proportional to 214,281.22, 321,424.57 and 147,703.48 is: 221,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,281.22 : 321,424.57 = 147,703.48 : x
  2. Step 2: Convert to fraction form
    214,281.22/321,424.57 = 147,703.48/x
  3. Step 3: Cross multiply
    214,281.22x = 321,424.57 × 147,703.48
  4. Step 4: Simplify right side
    214,281.22x = 47,475,525,570.12
  5. Step 5: Solve for x
    x = 47,475,525,570.12/214,281.22
  6. Step 6: Final answer
    x = 221,557.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.