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Finding the Fourth Proportional to 471,942.80, 706,747.80 and 313,312.40

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Solution

The fourth proportional to 471,942.80, 706,747.80 and 313,312.40 is: 469,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,942.80 : 706,747.80 = 313,312.40 : x
  2. Step 2: Convert to fraction form
    471,942.80/706,747.80 = 313,312.40/x
  3. Step 3: Cross multiply
    471,942.80x = 706,747.80 × 313,312.40
  4. Step 4: Simplify right side
    471,942.80x = 221,432,849,412.72
  5. Step 5: Solve for x
    x = 221,432,849,412.72/471,942.80
  6. Step 6: Final answer
    x = 469,194.25

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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.