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Finding the Fourth Proportional to 470,038.79, 648,661.07 and 255,178.69

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Solution

The fourth proportional to 470,038.79, 648,661.07 and 255,178.69 is: 352,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,038.79 : 648,661.07 = 255,178.69 : x
  2. Step 2: Convert to fraction form
    470,038.79/648,661.07 = 255,178.69/x
  3. Step 3: Cross multiply
    470,038.79x = 648,661.07 × 255,178.69
  4. Step 4: Simplify right side
    470,038.79x = 165,524,481,471.74
  5. Step 5: Solve for x
    x = 165,524,481,471.74/470,038.79
  6. Step 6: Final answer
    x = 352,150.68

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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.