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Finding the Fourth Proportional to 427,354.16, 589,709.10 and 236,363.45

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Solution

The fourth proportional to 427,354.16, 589,709.10 and 236,363.45 is: 326,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,354.16 : 589,709.10 = 236,363.45 : x
  2. Step 2: Convert to fraction form
    427,354.16/589,709.10 = 236,363.45/x
  3. Step 3: Cross multiply
    427,354.16x = 589,709.10 × 236,363.45
  4. Step 4: Simplify right side
    427,354.16x = 139,385,674,423.85
  5. Step 5: Solve for x
    x = 139,385,674,423.85/427,354.16
  6. Step 6: Final answer
    x = 326,159.63

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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.