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Finding the Fourth Proportional to 565,513.80, 780,389.23 and 310,863.15

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Solution

The fourth proportional to 565,513.80, 780,389.23 and 310,863.15 is: 428,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,513.80 : 780,389.23 = 310,863.15 : x
  2. Step 2: Convert to fraction form
    565,513.80/780,389.23 = 310,863.15/x
  3. Step 3: Cross multiply
    565,513.80x = 780,389.23 × 310,863.15
  4. Step 4: Simplify right side
    565,513.80x = 242,594,254,263.88
  5. Step 5: Solve for x
    x = 242,594,254,263.88/565,513.80
  6. Step 6: Final answer
    x = 428,980.26

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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.