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Finding the Fourth Proportional to 416,970.81, 575,417.39 and 225,984.15

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Solution

The fourth proportional to 416,970.81, 575,417.39 and 225,984.15 is: 311,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,970.81 : 575,417.39 = 225,984.15 : x
  2. Step 2: Convert to fraction form
    416,970.81/575,417.39 = 225,984.15/x
  3. Step 3: Cross multiply
    416,970.81x = 575,417.39 × 225,984.15
  4. Step 4: Simplify right side
    416,970.81x = 130,035,208,644.45
  5. Step 5: Solve for x
    x = 130,035,208,644.45/416,970.81
  6. Step 6: Final answer
    x = 311,856.86

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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.