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Finding the Fourth Proportional to 565,329.81, 780,185.06 and 320,362.05

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Solution

The fourth proportional to 565,329.81, 780,185.06 and 320,362.05 is: 442,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,329.81 : 780,185.06 = 320,362.05 : x
  2. Step 2: Convert to fraction form
    565,329.81/780,185.06 = 320,362.05/x
  3. Step 3: Cross multiply
    565,329.81x = 780,185.06 × 320,362.05
  4. Step 4: Simplify right side
    565,329.81x = 249,941,683,599.16
  5. Step 5: Solve for x
    x = 249,941,683,599.16/565,329.81
  6. Step 6: Final answer
    x = 442,116.58

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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.