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Finding the Fourth Proportional to 418,826, 628,440.60 and 208,482.32

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Solution

The fourth proportional to 418,826, 628,440.60 and 208,482.32 is: 312,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,826 : 628,440.60 = 208,482.32 : x
  2. Step 2: Convert to fraction form
    418,826/628,440.60 = 208,482.32/x
  3. Step 3: Cross multiply
    418,826x = 628,440.60 × 208,482.32
  4. Step 4: Simplify right side
    418,826x = 131,018,754,270.19
  5. Step 5: Solve for x
    x = 131,018,754,270.19/418,826
  6. Step 6: Final answer
    x = 312,823.83

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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.