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Finding the Fourth Proportional to 562,611.36, 776,403.92 and 307,964

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Solution

The fourth proportional to 562,611.36, 776,403.92 and 307,964 is: 424,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,611.36 : 776,403.92 = 307,964 : x
  2. Step 2: Convert to fraction form
    562,611.36/776,403.92 = 307,964/x
  3. Step 3: Cross multiply
    562,611.36x = 776,403.92 × 307,964
  4. Step 4: Simplify right side
    562,611.36x = 239,104,456,818.88
  5. Step 5: Solve for x
    x = 239,104,456,818.88/562,611.36
  6. Step 6: Final answer
    x = 424,990.45

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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.