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Finding the Fourth Proportional to 562,740.94, 776,656.46 and 320,968.09

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Solution

The fourth proportional to 562,740.94, 776,656.46 and 320,968.09 is: 442,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,740.94 : 776,656.46 = 320,968.09 : x
  2. Step 2: Convert to fraction form
    562,740.94/776,656.46 = 320,968.09/x
  3. Step 3: Cross multiply
    562,740.94x = 776,656.46 × 320,968.09
  4. Step 4: Simplify right side
    562,740.94x = 249,281,940,552.36
  5. Step 5: Solve for x
    x = 249,281,940,552.36/562,740.94
  6. Step 6: Final answer
    x = 442,978.15

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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.