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Finding the Fourth Proportional to 553,987.30, 830,739.59 and 294,268.06

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Solution

The fourth proportional to 553,987.30, 830,739.59 and 294,268.06 is: 441,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,987.30 : 830,739.59 = 294,268.06 : x
  2. Step 2: Convert to fraction form
    553,987.30/830,739.59 = 294,268.06/x
  3. Step 3: Cross multiply
    553,987.30x = 830,739.59 × 294,268.06
  4. Step 4: Simplify right side
    553,987.30x = 244,460,126,043.16
  5. Step 5: Solve for x
    x = 244,460,126,043.16/553,987.30
  6. Step 6: Final answer
    x = 441,273.89

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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.