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Finding the Fourth Proportional to 553,647.51, 830,987.89 and 283,978.11

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Solution

The fourth proportional to 553,647.51, 830,987.89 and 283,978.11 is: 426,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,647.51 : 830,987.89 = 283,978.11 : x
  2. Step 2: Convert to fraction form
    553,647.51/830,987.89 = 283,978.11/x
  3. Step 3: Cross multiply
    553,647.51x = 830,987.89 × 283,978.11
  4. Step 4: Simplify right side
    553,647.51x = 235,982,370,435.09
  5. Step 5: Solve for x
    x = 235,982,370,435.09/553,647.51
  6. Step 6: Final answer
    x = 426,232.15

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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.