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Finding the Fourth Proportional to 470,838.70, 705,998.85 and 155,133.10

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Solution

The fourth proportional to 470,838.70, 705,998.85 and 155,133.10 is: 232,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,838.70 : 705,998.85 = 155,133.10 : x
  2. Step 2: Convert to fraction form
    470,838.70/705,998.85 = 155,133.10/x
  3. Step 3: Cross multiply
    470,838.70x = 705,998.85 × 155,133.10
  4. Step 4: Simplify right side
    470,838.70x = 109,523,790,196.94
  5. Step 5: Solve for x
    x = 109,523,790,196.94/470,838.70
  6. Step 6: Final answer
    x = 232,614.25

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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.