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Finding the Fourth Proportional to 470,143.40, 704,599.08 and 217,391.80

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Solution

The fourth proportional to 470,143.40, 704,599.08 and 217,391.80 is: 325,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,143.40 : 704,599.08 = 217,391.80 : x
  2. Step 2: Convert to fraction form
    470,143.40/704,599.08 = 217,391.80/x
  3. Step 3: Cross multiply
    470,143.40x = 704,599.08 × 217,391.80
  4. Step 4: Simplify right side
    470,143.40x = 153,174,062,279.54
  5. Step 5: Solve for x
    x = 153,174,062,279.54/470,143.40
  6. Step 6: Final answer
    x = 325,802.86

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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.