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Finding the Fourth Proportional to 878,796, 1,212,740.64 and 476,388

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Solution

The fourth proportional to 878,796, 1,212,740.64 and 476,388 is: 657,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,796 : 1,212,740.64 = 476,388 : x
  2. Step 2: Convert to fraction form
    878,796/1,212,740.64 = 476,388/x
  3. Step 3: Cross multiply
    878,796x = 1,212,740.64 × 476,388
  4. Step 4: Simplify right side
    878,796x = 577,735,088,008.32
  5. Step 5: Solve for x
    x = 577,735,088,008.32/878,796
  6. Step 6: Final answer
    x = 657,416.61

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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.