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Finding the Fourth Proportional to 421,029.57, 581,014.02 and 230,038.86

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Solution

The fourth proportional to 421,029.57, 581,014.02 and 230,038.86 is: 317,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,029.57 : 581,014.02 = 230,038.86 : x
  2. Step 2: Convert to fraction form
    421,029.57/581,014.02 = 230,038.86/x
  3. Step 3: Cross multiply
    421,029.57x = 581,014.02 × 230,038.86
  4. Step 4: Simplify right side
    421,029.57x = 133,655,802,804.82
  5. Step 5: Solve for x
    x = 133,655,802,804.82/421,029.57
  6. Step 6: Final answer
    x = 317,449.92

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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.