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Finding the Fourth Proportional to 313,456.40, 470,184.60 and 166,000.40

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Solution

The fourth proportional to 313,456.40, 470,184.60 and 166,000.40 is: 249,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,456.40 : 470,184.60 = 166,000.40 : x
  2. Step 2: Convert to fraction form
    313,456.40/470,184.60 = 166,000.40/x
  3. Step 3: Cross multiply
    313,456.40x = 470,184.60 × 166,000.40
  4. Step 4: Simplify right side
    313,456.40x = 78,050,831,673.84
  5. Step 5: Solve for x
    x = 78,050,831,673.84/313,456.40
  6. Step 6: Final answer
    x = 249,000.60

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1.5x scale

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.