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Finding the Fourth Proportional to 313,903.60, 470,445.80 and 145,404.40

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Solution

The fourth proportional to 313,903.60, 470,445.80 and 145,404.40 is: 217,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,903.60 : 470,445.80 = 145,404.40 : x
  2. Step 2: Convert to fraction form
    313,903.60/470,445.80 = 145,404.40/x
  3. Step 3: Cross multiply
    313,903.60x = 470,445.80 × 145,404.40
  4. Step 4: Simplify right side
    313,903.60x = 68,404,889,281.52
  5. Step 5: Solve for x
    x = 68,404,889,281.52/313,903.60
  6. Step 6: Final answer
    x = 217,916.87

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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.