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Finding the Fourth Proportional to 209,358.24, 313,918.40 and 142,878.90

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Solution

The fourth proportional to 209,358.24, 313,918.40 and 142,878.90 is: 214,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,358.24 : 313,918.40 = 142,878.90 : x
  2. Step 2: Convert to fraction form
    209,358.24/313,918.40 = 142,878.90/x
  3. Step 3: Cross multiply
    209,358.24x = 313,918.40 × 142,878.90
  4. Step 4: Simplify right side
    209,358.24x = 44,852,315,681.76
  5. Step 5: Solve for x
    x = 44,852,315,681.76/209,358.24
  6. Step 6: Final answer
    x = 214,237.16

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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.