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Finding the Fourth Proportional to 565,298.58, 780,109.74 and 323,580

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Solution

The fourth proportional to 565,298.58, 780,109.74 and 323,580 is: 446,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,298.58 : 780,109.74 = 323,580 : x
  2. Step 2: Convert to fraction form
    565,298.58/780,109.74 = 323,580/x
  3. Step 3: Cross multiply
    565,298.58x = 780,109.74 × 323,580
  4. Step 4: Simplify right side
    565,298.58x = 252,427,909,669.20
  5. Step 5: Solve for x
    x = 252,427,909,669.20/565,298.58
  6. Step 6: Final answer
    x = 446,539.08

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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.