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Finding the Fourth Proportional to 314,423.40, 470,943.90 and 307,511.40

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Solution

The fourth proportional to 314,423.40, 470,943.90 and 307,511.40 is: 460,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,423.40 : 470,943.90 = 307,511.40 : x
  2. Step 2: Convert to fraction form
    314,423.40/470,943.90 = 307,511.40/x
  3. Step 3: Cross multiply
    314,423.40x = 470,943.90 × 307,511.40
  4. Step 4: Simplify right side
    314,423.40x = 144,820,618,010.46
  5. Step 5: Solve for x
    x = 144,820,618,010.46/314,423.40
  6. Step 6: Final answer
    x = 460,591.09

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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.