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Finding the Fourth Proportional to 570,451.71, 856,518.63 and 318,225

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Solution

The fourth proportional to 570,451.71, 856,518.63 and 318,225 is: 477,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,451.71 : 856,518.63 = 318,225 : x
  2. Step 2: Convert to fraction form
    570,451.71/856,518.63 = 318,225/x
  3. Step 3: Cross multiply
    570,451.71x = 856,518.63 × 318,225
  4. Step 4: Simplify right side
    570,451.71x = 272,565,641,031.75
  5. Step 5: Solve for x
    x = 272,565,641,031.75/570,451.71
  6. Step 6: Final answer
    x = 477,806.69

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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.