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Finding the Fourth Proportional to 421,281, 581,367.78 and 230,295.76

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Solution

The fourth proportional to 421,281, 581,367.78 and 230,295.76 is: 317,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,281 : 581,367.78 = 230,295.76 : x
  2. Step 2: Convert to fraction form
    421,281/581,367.78 = 230,295.76/x
  3. Step 3: Cross multiply
    421,281x = 581,367.78 × 230,295.76
  4. Step 4: Simplify right side
    421,281x = 133,886,533,281.19
  5. Step 5: Solve for x
    x = 133,886,533,281.19/421,281
  6. Step 6: Final answer
    x = 317,808.15

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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.