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Finding the Fourth Proportional to 565,535.70, 780,441.84 and 310,903.29

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Solution

The fourth proportional to 565,535.70, 780,441.84 and 310,903.29 is: 429,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,535.70 : 780,441.84 = 310,903.29 : x
  2. Step 2: Convert to fraction form
    565,535.70/780,441.84 = 310,903.29/x
  3. Step 3: Cross multiply
    565,535.70x = 780,441.84 × 310,903.29
  4. Step 4: Simplify right side
    565,535.70x = 242,641,935,709.65
  5. Step 5: Solve for x
    x = 242,641,935,709.65/565,535.70
  6. Step 6: Final answer
    x = 429,047.96

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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.