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Finding the Fourth Proportional to 565,358.60, 780,376.68 and 361,957.34

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Solution

The fourth proportional to 565,358.60, 780,376.68 and 361,957.34 is: 499,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,358.60 : 780,376.68 = 361,957.34 : x
  2. Step 2: Convert to fraction form
    565,358.60/780,376.68 = 361,957.34/x
  3. Step 3: Cross multiply
    565,358.60x = 780,376.68 × 361,957.34
  4. Step 4: Simplify right side
    565,358.60x = 282,463,069,241.77
  5. Step 5: Solve for x
    x = 282,463,069,241.77/565,358.60
  6. Step 6: Final answer
    x = 499,617.53

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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.