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Finding the Fourth Proportional to 314,139.84, 470,930.85 and 114,423

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Solution

The fourth proportional to 314,139.84, 470,930.85 and 114,423 is: 171,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,139.84 : 470,930.85 = 114,423 : x
  2. Step 2: Convert to fraction form
    314,139.84/470,930.85 = 114,423/x
  3. Step 3: Cross multiply
    314,139.84x = 470,930.85 × 114,423
  4. Step 4: Simplify right side
    314,139.84x = 53,885,320,649.55
  5. Step 5: Solve for x
    x = 53,885,320,649.55/314,139.84
  6. Step 6: Final answer
    x = 171,532.91

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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.