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Finding the Fourth Proportional to 421,705.46, 581,967.52 and 230,718.94

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Solution

The fourth proportional to 421,705.46, 581,967.52 and 230,718.94 is: 318,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,705.46 : 581,967.52 = 230,718.94 : x
  2. Step 2: Convert to fraction form
    421,705.46/581,967.52 = 230,718.94/x
  3. Step 3: Cross multiply
    421,705.46x = 581,967.52 × 230,718.94
  4. Step 4: Simplify right side
    421,705.46x = 134,270,929,328.83
  5. Step 5: Solve for x
    x = 134,270,929,328.83/421,705.46
  6. Step 6: Final answer
    x = 318,399.79

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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.