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Finding the Fourth Proportional to 527,796.63, 728,341.65 and 312,809.07

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Solution

The fourth proportional to 527,796.63, 728,341.65 and 312,809.07 is: 431,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,796.63 : 728,341.65 = 312,809.07 : x
  2. Step 2: Convert to fraction form
    527,796.63/728,341.65 = 312,809.07/x
  3. Step 3: Cross multiply
    527,796.63x = 728,341.65 × 312,809.07
  4. Step 4: Simplify right side
    527,796.63x = 227,831,874,178.77
  5. Step 5: Solve for x
    x = 227,831,874,178.77/527,796.63
  6. Step 6: Final answer
    x = 431,666.03

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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.