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Finding the Fourth Proportional to 464,928.40, 697,457.40 and 198,686.80

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Solution

The fourth proportional to 464,928.40, 697,457.40 and 198,686.80 is: 298,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,928.40 : 697,457.40 = 198,686.80 : x
  2. Step 2: Convert to fraction form
    464,928.40/697,457.40 = 198,686.80/x
  3. Step 3: Cross multiply
    464,928.40x = 697,457.40 × 198,686.80
  4. Step 4: Simplify right side
    464,928.40x = 138,575,578,942.32
  5. Step 5: Solve for x
    x = 138,575,578,942.32/464,928.40
  6. Step 6: Final answer
    x = 298,057.89

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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.