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Finding the Fourth Proportional to 531,679.89, 733,689.10 and 302,205.35

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Solution

The fourth proportional to 531,679.89, 733,689.10 and 302,205.35 is: 417,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,679.89 : 733,689.10 = 302,205.35 : x
  2. Step 2: Convert to fraction form
    531,679.89/733,689.10 = 302,205.35/x
  3. Step 3: Cross multiply
    531,679.89x = 733,689.10 × 302,205.35
  4. Step 4: Simplify right side
    531,679.89x = 221,724,772,335.39
  5. Step 5: Solve for x
    x = 221,724,772,335.39/531,679.89
  6. Step 6: Final answer
    x = 417,026.82

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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.