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Finding the Fourth Proportional to 562,574.28, 776,359.80 and 307,920

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Solution

The fourth proportional to 562,574.28, 776,359.80 and 307,920 is: 424,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,574.28 : 776,359.80 = 307,920 : x
  2. Step 2: Convert to fraction form
    562,574.28/776,359.80 = 307,920/x
  3. Step 3: Cross multiply
    562,574.28x = 776,359.80 × 307,920
  4. Step 4: Simplify right side
    562,574.28x = 239,056,709,616
  5. Step 5: Solve for x
    x = 239,056,709,616/562,574.28
  6. Step 6: Final answer
    x = 424,933.59

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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.