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Finding the Fourth Proportional to 562,743.09, 776,659.41 and 320,970.24

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Solution

The fourth proportional to 562,743.09, 776,659.41 and 320,970.24 is: 442,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,743.09 : 776,659.41 = 320,970.24 : x
  2. Step 2: Convert to fraction form
    562,743.09/776,659.41 = 320,970.24/x
  3. Step 3: Cross multiply
    562,743.09x = 776,659.41 × 320,970.24
  4. Step 4: Simplify right side
    562,743.09x = 249,284,557,225.96
  5. Step 5: Solve for x
    x = 249,284,557,225.96/562,743.09
  6. Step 6: Final answer
    x = 442,981.11

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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.