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Finding the Fourth Proportional to 565,357.10, 780,374.63 and 361,955.85

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Solution

The fourth proportional to 565,357.10, 780,374.63 and 361,955.85 is: 499,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,357.10 : 780,374.63 = 361,955.85 : x
  2. Step 2: Convert to fraction form
    565,357.10/780,374.63 = 361,955.85/x
  3. Step 3: Cross multiply
    565,357.10x = 780,374.63 × 361,955.85
  4. Step 4: Simplify right side
    565,357.10x = 282,461,160,710.31
  5. Step 5: Solve for x
    x = 282,461,160,710.31/565,357.10
  6. Step 6: Final answer
    x = 499,615.49

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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.