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Finding the Fourth Proportional to 259,898.06, 358,745.82 and 152,428.88

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Solution

The fourth proportional to 259,898.06, 358,745.82 and 152,428.88 is: 210,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,898.06 : 358,745.82 = 152,428.88 : x
  2. Step 2: Convert to fraction form
    259,898.06/358,745.82 = 152,428.88/x
  3. Step 3: Cross multiply
    259,898.06x = 358,745.82 × 152,428.88
  4. Step 4: Simplify right side
    259,898.06x = 54,683,223,547.28
  5. Step 5: Solve for x
    x = 54,683,223,547.28/259,898.06
  6. Step 6: Final answer
    x = 210,402.58

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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.