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Finding the Fourth Proportional to 213,985.65, 320,505.37 and 146,357.40

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Solution

The fourth proportional to 213,985.65, 320,505.37 and 146,357.40 is: 219,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,985.65 : 320,505.37 = 146,357.40 : x
  2. Step 2: Convert to fraction form
    213,985.65/320,505.37 = 146,357.40/x
  3. Step 3: Cross multiply
    213,985.65x = 320,505.37 × 146,357.40
  4. Step 4: Simplify right side
    213,985.65x = 46,908,332,639.24
  5. Step 5: Solve for x
    x = 46,908,332,639.24/213,985.65
  6. Step 6: Final answer
    x = 219,212.52

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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.