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Finding the Fourth Proportional to 527,552, 728,021.76 and 289,088

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Solution

The fourth proportional to 527,552, 728,021.76 and 289,088 is: 398,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,552 : 728,021.76 = 289,088 : x
  2. Step 2: Convert to fraction form
    527,552/728,021.76 = 289,088/x
  3. Step 3: Cross multiply
    527,552x = 728,021.76 × 289,088
  4. Step 4: Simplify right side
    527,552x = 210,462,354,554.88
  5. Step 5: Solve for x
    x = 210,462,354,554.88/527,552
  6. Step 6: Final answer
    x = 398,941.44

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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.