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Finding the Fourth Proportional to 268,588.16, 370,651.16 and 153,904

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Solution

The fourth proportional to 268,588.16, 370,651.16 and 153,904 is: 212,387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,588.16 : 370,651.16 = 153,904 : x
  2. Step 2: Convert to fraction form
    268,588.16/370,651.16 = 153,904/x
  3. Step 3: Cross multiply
    268,588.16x = 370,651.16 × 153,904
  4. Step 4: Simplify right side
    268,588.16x = 57,044,696,128.64
  5. Step 5: Solve for x
    x = 57,044,696,128.64/268,588.16
  6. Step 6: Final answer
    x = 212,387.23

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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.