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Finding the Fourth Proportional to 470,171.88, 648,838.50 and 255,315.53

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Solution

The fourth proportional to 470,171.88, 648,838.50 and 255,315.53 is: 352,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,171.88 : 648,838.50 = 255,315.53 : x
  2. Step 2: Convert to fraction form
    470,171.88/648,838.50 = 255,315.53/x
  3. Step 3: Cross multiply
    470,171.88x = 648,838.50 × 255,315.53
  4. Step 4: Simplify right side
    470,171.88x = 165,658,542,267.71
  5. Step 5: Solve for x
    x = 165,658,542,267.71/470,171.88
  6. Step 6: Final answer
    x = 352,336.13

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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.