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Finding the Fourth Proportional to 359,128.64, 538,851.65 and 188,309.56

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Solution

The fourth proportional to 359,128.64, 538,851.65 and 188,309.56 is: 282,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,128.64 : 538,851.65 = 188,309.56 : x
  2. Step 2: Convert to fraction form
    359,128.64/538,851.65 = 188,309.56/x
  3. Step 3: Cross multiply
    359,128.64x = 538,851.65 × 188,309.56
  4. Step 4: Simplify right side
    359,128.64x = 101,470,917,116.77
  5. Step 5: Solve for x
    x = 101,470,917,116.77/359,128.64
  6. Step 6: Final answer
    x = 282,547.55

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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.