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Finding the Fourth Proportional to 397,339.64, 595,822.35 and 144,442.28

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Solution

The fourth proportional to 397,339.64, 595,822.35 and 144,442.28 is: 216,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,339.64 : 595,822.35 = 144,442.28 : x
  2. Step 2: Convert to fraction form
    397,339.64/595,822.35 = 144,442.28/x
  3. Step 3: Cross multiply
    397,339.64x = 595,822.35 × 144,442.28
  4. Step 4: Simplify right side
    397,339.64x = 86,061,938,708.96
  5. Step 5: Solve for x
    x = 86,061,938,708.96/397,339.64
  6. Step 6: Final answer
    x = 216,595.40

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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.