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Finding the Fourth Proportional to 288,289, 432,323.34 and 138,486.60

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Solution

The fourth proportional to 288,289, 432,323.34 and 138,486.60 is: 207,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,289 : 432,323.34 = 138,486.60 : x
  2. Step 2: Convert to fraction form
    288,289/432,323.34 = 138,486.60/x
  3. Step 3: Cross multiply
    288,289x = 432,323.34 × 138,486.60
  4. Step 4: Simplify right side
    288,289x = 59,870,989,457.24
  5. Step 5: Solve for x
    x = 59,870,989,457.24/288,289
  6. Step 6: Final answer
    x = 207,676.98

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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.