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Finding the Fourth Proportional to 470,710.98, 649,578.71 and 255,852.20

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Solution

The fourth proportional to 470,710.98, 649,578.71 and 255,852.20 is: 353,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,710.98 : 649,578.71 = 255,852.20 : x
  2. Step 2: Convert to fraction form
    470,710.98/649,578.71 = 255,852.20/x
  3. Step 3: Cross multiply
    470,710.98x = 649,578.71 × 255,852.20
  4. Step 4: Simplify right side
    470,710.98x = 166,196,137,499.51
  5. Step 5: Solve for x
    x = 166,196,137,499.51/470,710.98
  6. Step 6: Final answer
    x = 353,074.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.