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Finding the Fourth Proportional to 520,905.40, 780,045.90 and 415,929.40

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Solution

The fourth proportional to 520,905.40, 780,045.90 and 415,929.40 is: 622,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,905.40 : 780,045.90 = 415,929.40 : x
  2. Step 2: Convert to fraction form
    520,905.40/780,045.90 = 415,929.40/x
  3. Step 3: Cross multiply
    520,905.40x = 780,045.90 × 415,929.40
  4. Step 4: Simplify right side
    520,905.40x = 324,444,023,159.46
  5. Step 5: Solve for x
    x = 324,444,023,159.46/520,905.40
  6. Step 6: Final answer
    x = 622,846.34

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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.