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Finding the Fourth Proportional to 470,506.51, 649,289.63 and 255,648.11

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Solution

The fourth proportional to 470,506.51, 649,289.63 and 255,648.11 is: 352,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,506.51 : 649,289.63 = 255,648.11 : x
  2. Step 2: Convert to fraction form
    470,506.51/649,289.63 = 255,648.11/x
  3. Step 3: Cross multiply
    470,506.51x = 649,289.63 × 255,648.11
  4. Step 4: Simplify right side
    470,506.51x = 165,989,666,752.10
  5. Step 5: Solve for x
    x = 165,989,666,752.10/470,506.51
  6. Step 6: Final answer
    x = 352,789.31

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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.