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Finding the Fourth Proportional to 652,561.71, 978,942.80 and 353,084.86

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Solution

The fourth proportional to 652,561.71, 978,942.80 and 353,084.86 is: 529,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,561.71 : 978,942.80 = 353,084.86 : x
  2. Step 2: Convert to fraction form
    652,561.71/978,942.80 = 353,084.86/x
  3. Step 3: Cross multiply
    652,561.71x = 978,942.80 × 353,084.86
  4. Step 4: Simplify right side
    652,561.71x = 345,649,881,486.01
  5. Step 5: Solve for x
    x = 345,649,881,486.01/652,561.71
  6. Step 6: Final answer
    x = 529,681.52

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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.