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Finding the Fourth Proportional to 570,378.94, 856,409.49 and 318,152.23

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Solution

The fourth proportional to 570,378.94, 856,409.49 and 318,152.23 is: 477,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,378.94 : 856,409.49 = 318,152.23 : x
  2. Step 2: Convert to fraction form
    570,378.94/856,409.49 = 318,152.23/x
  3. Step 3: Cross multiply
    570,378.94x = 856,409.49 × 318,152.23
  4. Step 4: Simplify right side
    570,378.94x = 272,468,586,895.64
  5. Step 5: Solve for x
    x = 272,468,586,895.64/570,378.94
  6. Step 6: Final answer
    x = 477,697.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.