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Finding the Fourth Proportional to 259,722.60, 358,419.78 and 152,356.20

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Solution

The fourth proportional to 259,722.60, 358,419.78 and 152,356.20 is: 210,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,722.60 : 358,419.78 = 152,356.20 : x
  2. Step 2: Convert to fraction form
    259,722.60/358,419.78 = 152,356.20/x
  3. Step 3: Cross multiply
    259,722.60x = 358,419.78 × 152,356.20
  4. Step 4: Simplify right side
    259,722.60x = 54,607,475,685.64
  5. Step 5: Solve for x
    x = 54,607,475,685.64/259,722.60
  6. Step 6: Final answer
    x = 210,253.08

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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.