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Finding the Fourth Proportional to 684,870.06, 945,148.50 and 378,941.46

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Solution

The fourth proportional to 684,870.06, 945,148.50 and 378,941.46 is: 522,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,870.06 : 945,148.50 = 378,941.46 : x
  2. Step 2: Convert to fraction form
    684,870.06/945,148.50 = 378,941.46/x
  3. Step 3: Cross multiply
    684,870.06x = 945,148.50 × 378,941.46
  4. Step 4: Simplify right side
    684,870.06x = 358,155,952,506.81
  5. Step 5: Solve for x
    x = 358,155,952,506.81/684,870.06
  6. Step 6: Final answer
    x = 522,954.61

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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.