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Finding the Fourth Proportional to 421,539.84, 581,459 and 294,168.96

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Solution

The fourth proportional to 421,539.84, 581,459 and 294,168.96 is: 405,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,539.84 : 581,459 = 294,168.96 : x
  2. Step 2: Convert to fraction form
    421,539.84/581,459 = 294,168.96/x
  3. Step 3: Cross multiply
    421,539.84x = 581,459 × 294,168.96
  4. Step 4: Simplify right side
    421,539.84x = 171,047,189,312.64
  5. Step 5: Solve for x
    x = 171,047,189,312.64/421,539.84
  6. Step 6: Final answer
    x = 405,767.55

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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.