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Finding the Fourth Proportional to 470,930.94, 706,420.91 and 155,412.45

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Solution

The fourth proportional to 470,930.94, 706,420.91 and 155,412.45 is: 233,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,930.94 : 706,420.91 = 155,412.45 : x
  2. Step 2: Convert to fraction form
    470,930.94/706,420.91 = 155,412.45/x
  3. Step 3: Cross multiply
    470,930.94x = 706,420.91 × 155,412.45
  4. Step 4: Simplify right side
    470,930.94x = 109,786,604,742.86
  5. Step 5: Solve for x
    x = 109,786,604,742.86/470,930.94
  6. Step 6: Final answer
    x = 233,126.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.