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Finding the Fourth Proportional to 416,709.32, 575,101.44 and 300,518.78

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Solution

The fourth proportional to 416,709.32, 575,101.44 and 300,518.78 is: 414,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,709.32 : 575,101.44 = 300,518.78 : x
  2. Step 2: Convert to fraction form
    416,709.32/575,101.44 = 300,518.78/x
  3. Step 3: Cross multiply
    416,709.32x = 575,101.44 × 300,518.78
  4. Step 4: Simplify right side
    416,709.32x = 172,828,783,125.04
  5. Step 5: Solve for x
    x = 172,828,783,125.04/416,709.32
  6. Step 6: Final answer
    x = 414,746.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.