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Finding the Fourth Proportional to 562,128.98, 775,718.56 and 320,489.36

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Solution

The fourth proportional to 562,128.98, 775,718.56 and 320,489.36 is: 442,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,128.98 : 775,718.56 = 320,489.36 : x
  2. Step 2: Convert to fraction form
    562,128.98/775,718.56 = 320,489.36/x
  3. Step 3: Cross multiply
    562,128.98x = 775,718.56 × 320,489.36
  4. Step 4: Simplify right side
    562,128.98x = 248,609,544,834.52
  5. Step 5: Solve for x
    x = 248,609,544,834.52/562,128.98
  6. Step 6: Final answer
    x = 442,264.24

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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.