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Finding the Fourth Proportional to 470,271, 648,978.75 and 255,415.26

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Solution

The fourth proportional to 470,271, 648,978.75 and 255,415.26 is: 352,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,271 : 648,978.75 = 255,415.26 : x
  2. Step 2: Convert to fraction form
    470,271/648,978.75 = 255,415.26/x
  3. Step 3: Cross multiply
    470,271x = 648,978.75 × 255,415.26
  4. Step 4: Simplify right side
    470,271x = 165,759,076,165.73
  5. Step 5: Solve for x
    x = 165,759,076,165.73/470,271
  6. Step 6: Final answer
    x = 352,475.65

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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.