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Finding the Fourth Proportional to 258,407.76, 356,594.40 and 143,685.84

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Solution

The fourth proportional to 258,407.76, 356,594.40 and 143,685.84 is: 198,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,407.76 : 356,594.40 = 143,685.84 : x
  2. Step 2: Convert to fraction form
    258,407.76/356,594.40 = 143,685.84/x
  3. Step 3: Cross multiply
    258,407.76x = 356,594.40 × 143,685.84
  4. Step 4: Simplify right side
    258,407.76x = 51,237,565,903.30
  5. Step 5: Solve for x
    x = 51,237,565,903.30/258,407.76
  6. Step 6: Final answer
    x = 198,281.84

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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.