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Finding the Fourth Proportional to 565,407, 780,261.66 and 310,758.19

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Solution

The fourth proportional to 565,407, 780,261.66 and 310,758.19 is: 428,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,407 : 780,261.66 = 310,758.19 : x
  2. Step 2: Convert to fraction form
    565,407/780,261.66 = 310,758.19/x
  3. Step 3: Cross multiply
    565,407x = 780,261.66 × 310,758.19
  4. Step 4: Simplify right side
    565,407x = 242,472,699,237.34
  5. Step 5: Solve for x
    x = 242,472,699,237.34/565,407
  6. Step 6: Final answer
    x = 428,846.30

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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.