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Finding the Fourth Proportional to 288,376.76, 432,740.64 and 110,899.28

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Solution

The fourth proportional to 288,376.76, 432,740.64 and 110,899.28 is: 166,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,376.76 : 432,740.64 = 110,899.28 : x
  2. Step 2: Convert to fraction form
    288,376.76/432,740.64 = 110,899.28/x
  3. Step 3: Cross multiply
    288,376.76x = 432,740.64 × 110,899.28
  4. Step 4: Simplify right side
    288,376.76x = 47,990,625,402.74
  5. Step 5: Solve for x
    x = 47,990,625,402.74/288,376.76
  6. Step 6: Final answer
    x = 166,416.41

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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.