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Finding the Fourth Proportional to 421,038.18, 581,019.78 and 230,051.31

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Solution

The fourth proportional to 421,038.18, 581,019.78 and 230,051.31 is: 317,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,038.18 : 581,019.78 = 230,051.31 : x
  2. Step 2: Convert to fraction form
    421,038.18/581,019.78 = 230,051.31/x
  3. Step 3: Cross multiply
    421,038.18x = 581,019.78 × 230,051.31
  4. Step 4: Simplify right side
    421,038.18x = 133,664,361,524.91
  5. Step 5: Solve for x
    x = 133,664,361,524.91/421,038.18
  6. Step 6: Final answer
    x = 317,463.75

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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.