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Finding the Fourth Proportional to 470,642, 705,176.76 and 292,709.84

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Solution

The fourth proportional to 470,642, 705,176.76 and 292,709.84 is: 438,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,642 : 705,176.76 = 292,709.84 : x
  2. Step 2: Convert to fraction form
    470,642/705,176.76 = 292,709.84/x
  3. Step 3: Cross multiply
    470,642x = 705,176.76 × 292,709.84
  4. Step 4: Simplify right side
    470,642x = 206,412,176,591.32
  5. Step 5: Solve for x
    x = 206,412,176,591.32/470,642
  6. Step 6: Final answer
    x = 438,575.77

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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.