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Finding the Fourth Proportional to 259,378.21, 357,969.45 and 152,038.43

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Solution

The fourth proportional to 259,378.21, 357,969.45 and 152,038.43 is: 209,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,378.21 : 357,969.45 = 152,038.43 : x
  2. Step 2: Convert to fraction form
    259,378.21/357,969.45 = 152,038.43/x
  3. Step 3: Cross multiply
    259,378.21x = 357,969.45 × 152,038.43
  4. Step 4: Simplify right side
    259,378.21x = 54,425,113,165.96
  5. Step 5: Solve for x
    x = 54,425,113,165.96/259,378.21
  6. Step 6: Final answer
    x = 209,829.16

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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.