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Finding the Fourth Proportional to 565,389.85, 780,228.94 and 310,735.57

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Solution

The fourth proportional to 565,389.85, 780,228.94 and 310,735.57 is: 428,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,389.85 : 780,228.94 = 310,735.57 : x
  2. Step 2: Convert to fraction form
    565,389.85/780,228.94 = 310,735.57/x
  3. Step 3: Cross multiply
    565,389.85x = 780,228.94 × 310,735.57
  4. Step 4: Simplify right side
    565,389.85x = 242,444,884,401.40
  5. Step 5: Solve for x
    x = 242,444,884,401.40/565,389.85
  6. Step 6: Final answer
    x = 428,810.11

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1.5x scale

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.