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Finding the Fourth Proportional to 470,076, 648,704.88 and 258,108

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Solution

The fourth proportional to 470,076, 648,704.88 and 258,108 is: 356,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,076 : 648,704.88 = 258,108 : x
  2. Step 2: Convert to fraction form
    470,076/648,704.88 = 258,108/x
  3. Step 3: Cross multiply
    470,076x = 648,704.88 × 258,108
  4. Step 4: Simplify right side
    470,076x = 167,435,919,167.04
  5. Step 5: Solve for x
    x = 167,435,919,167.04/470,076
  6. Step 6: Final answer
    x = 356,189.04

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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.