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Finding the Fourth Proportional to 416,403.93, 574,639.25 and 225,417.32

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Solution

The fourth proportional to 416,403.93, 574,639.25 and 225,417.32 is: 311,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,403.93 : 574,639.25 = 225,417.32 : x
  2. Step 2: Convert to fraction form
    416,403.93/574,639.25 = 225,417.32/x
  3. Step 3: Cross multiply
    416,403.93x = 574,639.25 × 225,417.32
  4. Step 4: Simplify right side
    416,403.93x = 129,533,636,828.61
  5. Step 5: Solve for x
    x = 129,533,636,828.61/416,403.93
  6. Step 6: Final answer
    x = 311,076.89

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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.