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Finding the Fourth Proportional to 470,572.20, 705,080.70 and 400,588.20

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Solution

The fourth proportional to 470,572.20, 705,080.70 and 400,588.20 is: 600,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,572.20 : 705,080.70 = 400,588.20 : x
  2. Step 2: Convert to fraction form
    470,572.20/705,080.70 = 400,588.20/x
  3. Step 3: Cross multiply
    470,572.20x = 705,080.70 × 400,588.20
  4. Step 4: Simplify right side
    470,572.20x = 282,447,008,467.74
  5. Step 5: Solve for x
    x = 282,447,008,467.74/470,572.20
  6. Step 6: Final answer
    x = 600,220.35

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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.