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Finding the Fourth Proportional to 505,415.84, 697,460.52 and 279,056.48

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Solution

The fourth proportional to 505,415.84, 697,460.52 and 279,056.48 is: 385,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,415.84 : 697,460.52 = 279,056.48 : x
  2. Step 2: Convert to fraction form
    505,415.84/697,460.52 = 279,056.48/x
  3. Step 3: Cross multiply
    505,415.84x = 697,460.52 × 279,056.48
  4. Step 4: Simplify right side
    505,415.84x = 194,630,877,650.17
  5. Step 5: Solve for x
    x = 194,630,877,650.17/505,415.84
  6. Step 6: Final answer
    x = 385,090.58

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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.