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Finding the Fourth Proportional to 220,428, 304,192.80 and 119,828.16

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Solution

The fourth proportional to 220,428, 304,192.80 and 119,828.16 is: 165,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,428 : 304,192.80 = 119,828.16 : x
  2. Step 2: Convert to fraction form
    220,428/304,192.80 = 119,828.16/x
  3. Step 3: Cross multiply
    220,428x = 304,192.80 × 119,828.16
  4. Step 4: Simplify right side
    220,428x = 36,450,863,509.25
  5. Step 5: Solve for x
    x = 36,450,863,509.25/220,428
  6. Step 6: Final answer
    x = 165,364.04

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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.