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Finding the Fourth Proportional to 652,503.46, 978,438.76 and 382,719.75

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Solution

The fourth proportional to 652,503.46, 978,438.76 and 382,719.75 is: 573,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,503.46 : 978,438.76 = 382,719.75 : x
  2. Step 2: Convert to fraction form
    652,503.46/978,438.76 = 382,719.75/x
  3. Step 3: Cross multiply
    652,503.46x = 978,438.76 × 382,719.75
  4. Step 4: Simplify right side
    652,503.46x = 374,467,837,617.51
  5. Step 5: Solve for x
    x = 374,467,837,617.51/652,503.46
  6. Step 6: Final answer
    x = 573,894.03

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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.