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Finding the Fourth Proportional to 565,516.81, 780,415.73 and 310,884.40

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Solution

The fourth proportional to 565,516.81, 780,415.73 and 310,884.40 is: 429,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,516.81 : 780,415.73 = 310,884.40 : x
  2. Step 2: Convert to fraction form
    565,516.81/780,415.73 = 310,884.40/x
  3. Step 3: Cross multiply
    565,516.81x = 780,415.73 × 310,884.40
  4. Step 4: Simplify right side
    565,516.81x = 242,619,075,971.61
  5. Step 5: Solve for x
    x = 242,619,075,971.61/565,516.81
  6. Step 6: Final answer
    x = 429,021.86

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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.