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Finding the Fourth Proportional to 432,038.84, 648,163.43 and 143,849.72

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Solution

The fourth proportional to 432,038.84, 648,163.43 and 143,849.72 is: 215,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,038.84 : 648,163.43 = 143,849.72 : x
  2. Step 2: Convert to fraction form
    432,038.84/648,163.43 = 143,849.72/x
  3. Step 3: Cross multiply
    432,038.84x = 648,163.43 × 143,849.72
  4. Step 4: Simplify right side
    432,038.84x = 93,238,127,919.74
  5. Step 5: Solve for x
    x = 93,238,127,919.74/432,038.84
  6. Step 6: Final answer
    x = 215,809.60

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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.