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Finding the Fourth Proportional to 421,011.42, 581,004.12 and 230,036.64

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Solution

The fourth proportional to 421,011.42, 581,004.12 and 230,036.64 is: 317,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,011.42 : 581,004.12 = 230,036.64 : x
  2. Step 2: Convert to fraction form
    421,011.42/581,004.12 = 230,036.64/x
  3. Step 3: Cross multiply
    421,011.42x = 581,004.12 × 230,036.64
  4. Step 4: Simplify right side
    421,011.42x = 133,652,235,590.96
  5. Step 5: Solve for x
    x = 133,652,235,590.96/421,011.42
  6. Step 6: Final answer
    x = 317,455.13

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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.