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Finding the Fourth Proportional to 421,533.84, 581,450.76 and 294,162.96

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Solution

The fourth proportional to 421,533.84, 581,450.76 and 294,162.96 is: 405,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,533.84 : 581,450.76 = 294,162.96 : x
  2. Step 2: Convert to fraction form
    421,533.84/581,450.76 = 294,162.96/x
  3. Step 3: Cross multiply
    421,533.84x = 581,450.76 × 294,162.96
  4. Step 4: Simplify right side
    421,533.84x = 171,041,276,655.85
  5. Step 5: Solve for x
    x = 171,041,276,655.85/421,533.84
  6. Step 6: Final answer
    x = 405,759.30

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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.