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Finding the Fourth Proportional to 359,145.74, 538,715.10 and 137,529.74

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Solution

The fourth proportional to 359,145.74, 538,715.10 and 137,529.74 is: 206,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,145.74 : 538,715.10 = 137,529.74 : x
  2. Step 2: Convert to fraction form
    359,145.74/538,715.10 = 137,529.74/x
  3. Step 3: Cross multiply
    359,145.74x = 538,715.10 × 137,529.74
  4. Step 4: Simplify right side
    359,145.74x = 74,089,347,637.07
  5. Step 5: Solve for x
    x = 74,089,347,637.07/359,145.74
  6. Step 6: Final answer
    x = 206,293.27

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1.5x scale

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.