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Finding the Fourth Proportional to 565,383.99, 780,221.13 and 310,729.71

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Solution

The fourth proportional to 565,383.99, 780,221.13 and 310,729.71 is: 428,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,383.99 : 780,221.13 = 310,729.71 : x
  2. Step 2: Convert to fraction form
    565,383.99/780,221.13 = 310,729.71/x
  3. Step 3: Cross multiply
    565,383.99x = 780,221.13 × 310,729.71
  4. Step 4: Simplify right side
    565,383.99x = 242,437,885,460.77
  5. Step 5: Solve for x
    x = 242,437,885,460.77/565,383.99
  6. Step 6: Final answer
    x = 428,802.18

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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.