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Finding the Fourth Proportional to 213,061.16, 319,602.76 and 202,287.06

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Solution

The fourth proportional to 213,061.16, 319,602.76 and 202,287.06 is: 303,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,061.16 : 319,602.76 = 202,287.06 : x
  2. Step 2: Convert to fraction form
    213,061.16/319,602.76 = 202,287.06/x
  3. Step 3: Cross multiply
    213,061.16x = 319,602.76 × 202,287.06
  4. Step 4: Simplify right side
    213,061.16x = 64,651,502,182.57
  5. Step 5: Solve for x
    x = 64,651,502,182.57/213,061.16
  6. Step 6: Final answer
    x = 303,441.05

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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.