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Finding the Fourth Proportional to 688,314.67, 949,900.91 and 470,978.93

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Solution

The fourth proportional to 688,314.67, 949,900.91 and 470,978.93 is: 649,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,314.67 : 949,900.91 = 470,978.93 : x
  2. Step 2: Convert to fraction form
    688,314.67/949,900.91 = 470,978.93/x
  3. Step 3: Cross multiply
    688,314.67x = 949,900.91 × 470,978.93
  4. Step 4: Simplify right side
    688,314.67x = 447,383,307,093.43
  5. Step 5: Solve for x
    x = 447,383,307,093.43/688,314.67
  6. Step 6: Final answer
    x = 649,969.16

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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.