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Finding the Fourth Proportional to 520,828.32, 780,349.58 and 349,729.32

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Solution

The fourth proportional to 520,828.32, 780,349.58 and 349,729.32 is: 523,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,828.32 : 780,349.58 = 349,729.32 : x
  2. Step 2: Convert to fraction form
    520,828.32/780,349.58 = 349,729.32/x
  3. Step 3: Cross multiply
    520,828.32x = 780,349.58 × 349,729.32
  4. Step 4: Simplify right side
    520,828.32x = 272,911,124,073.94
  5. Step 5: Solve for x
    x = 272,911,124,073.94/520,828.32
  6. Step 6: Final answer
    x = 523,994.41

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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.