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Finding the Fourth Proportional to 562,288.60, 775,960.14 and 307,639

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Solution

The fourth proportional to 562,288.60, 775,960.14 and 307,639 is: 424,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,288.60 : 775,960.14 = 307,639 : x
  2. Step 2: Convert to fraction form
    562,288.60/775,960.14 = 307,639/x
  3. Step 3: Cross multiply
    562,288.60x = 775,960.14 × 307,639
  4. Step 4: Simplify right side
    562,288.60x = 238,715,601,509.46
  5. Step 5: Solve for x
    x = 238,715,601,509.46/562,288.60
  6. Step 6: Final answer
    x = 424,542.84

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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.