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Finding the Fourth Proportional to 721,830.64, 995,897.28 and 419,966.32

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Solution

The fourth proportional to 721,830.64, 995,897.28 and 419,966.32 is: 579,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,830.64 : 995,897.28 = 419,966.32 : x
  2. Step 2: Convert to fraction form
    721,830.64/995,897.28 = 419,966.32/x
  3. Step 3: Cross multiply
    721,830.64x = 995,897.28 × 419,966.32
  4. Step 4: Simplify right side
    721,830.64x = 418,243,315,779.61
  5. Step 5: Solve for x
    x = 418,243,315,779.61/721,830.64
  6. Step 6: Final answer
    x = 579,420.29

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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.