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Finding the Fourth Proportional to 562,977.74, 776,880.42 and 308,323.46

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Solution

The fourth proportional to 562,977.74, 776,880.42 and 308,323.46 is: 425,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,977.74 : 776,880.42 = 308,323.46 : x
  2. Step 2: Convert to fraction form
    562,977.74/776,880.42 = 308,323.46/x
  3. Step 3: Cross multiply
    562,977.74x = 776,880.42 × 308,323.46
  4. Step 4: Simplify right side
    562,977.74x = 239,530,459,886.64
  5. Step 5: Solve for x
    x = 239,530,459,886.64/562,977.74
  6. Step 6: Final answer
    x = 425,470.57

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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.