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Finding the Fourth Proportional to 553,647.63, 830,988.08 and 283,978.24

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Solution

The fourth proportional to 553,647.63, 830,988.08 and 283,978.24 is: 426,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,647.63 : 830,988.08 = 283,978.24 : x
  2. Step 2: Convert to fraction form
    553,647.63/830,988.08 = 283,978.24/x
  3. Step 3: Cross multiply
    553,647.63x = 830,988.08 × 283,978.24
  4. Step 4: Simplify right side
    553,647.63x = 235,982,529,986.94
  5. Step 5: Solve for x
    x = 235,982,529,986.94/553,647.63
  6. Step 6: Final answer
    x = 426,232.35

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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.