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Finding the Fourth Proportional to 562,657.81, 776,469.09 and 308,025.40

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Solution

The fourth proportional to 562,657.81, 776,469.09 and 308,025.40 is: 425,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,657.81 : 776,469.09 = 308,025.40 : x
  2. Step 2: Convert to fraction form
    562,657.81/776,469.09 = 308,025.40/x
  3. Step 3: Cross multiply
    562,657.81x = 776,469.09 × 308,025.40
  4. Step 4: Simplify right side
    562,657.81x = 239,172,202,034.89
  5. Step 5: Solve for x
    x = 239,172,202,034.89/562,657.81
  6. Step 6: Final answer
    x = 425,075.77

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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.