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Finding the Fourth Proportional to 288,543.88, 432,903.30 and 138,741.67

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Solution

The fourth proportional to 288,543.88, 432,903.30 and 138,741.67 is: 208,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,543.88 : 432,903.30 = 138,741.67 : x
  2. Step 2: Convert to fraction form
    288,543.88/432,903.30 = 138,741.67/x
  3. Step 3: Cross multiply
    288,543.88x = 432,903.30 × 138,741.67
  4. Step 4: Simplify right side
    288,543.88x = 60,061,726,790.51
  5. Step 5: Solve for x
    x = 60,061,726,790.51/288,543.88
  6. Step 6: Final answer
    x = 208,154.57

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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.