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Finding the Fourth Proportional to 213,986.65, 320,506.87 and 146,358.40

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Solution

The fourth proportional to 213,986.65, 320,506.87 and 146,358.40 is: 219,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,986.65 : 320,506.87 = 146,358.40 : x
  2. Step 2: Convert to fraction form
    213,986.65/320,506.87 = 146,358.40/x
  3. Step 3: Cross multiply
    213,986.65x = 320,506.87 × 146,358.40
  4. Step 4: Simplify right side
    213,986.65x = 46,908,872,682.21
  5. Step 5: Solve for x
    x = 46,908,872,682.21/213,986.65
  6. Step 6: Final answer
    x = 219,214.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.