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Finding the Fourth Proportional to 471,281.52, 650,157.12 and 318,270

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Solution

The fourth proportional to 471,281.52, 650,157.12 and 318,270 is: 439,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,281.52 : 650,157.12 = 318,270 : x
  2. Step 2: Convert to fraction form
    471,281.52/650,157.12 = 318,270/x
  3. Step 3: Cross multiply
    471,281.52x = 650,157.12 × 318,270
  4. Step 4: Simplify right side
    471,281.52x = 206,925,506,582.40
  5. Step 5: Solve for x
    x = 206,925,506,582.40/471,281.52
  6. Step 6: Final answer
    x = 439,069.85

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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.