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Finding the Fourth Proportional to 830,419.52, 1,145,978.91 and 448,446.29

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Solution

The fourth proportional to 830,419.52, 1,145,978.91 and 448,446.29 is: 618,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,419.52 : 1,145,978.91 = 448,446.29 : x
  2. Step 2: Convert to fraction form
    830,419.52/1,145,978.91 = 448,446.29/x
  3. Step 3: Cross multiply
    830,419.52x = 1,145,978.91 × 448,446.29
  4. Step 4: Simplify right side
    830,419.52x = 513,909,984,877.85
  5. Step 5: Solve for x
    x = 513,909,984,877.85/830,419.52
  6. Step 6: Final answer
    x = 618,855.86

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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.