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Finding the Fourth Proportional to 219,017.65, 302,309 and 128,393.23

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Solution

The fourth proportional to 219,017.65, 302,309 and 128,393.23 is: 177,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,017.65 : 302,309 = 128,393.23 : x
  2. Step 2: Convert to fraction form
    219,017.65/302,309 = 128,393.23/x
  3. Step 3: Cross multiply
    219,017.65x = 302,309 × 128,393.23
  4. Step 4: Simplify right side
    219,017.65x = 38,814,428,968.07
  5. Step 5: Solve for x
    x = 38,814,428,968.07/219,017.65
  6. Step 6: Final answer
    x = 177,220.55

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1.5x scale

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.