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Finding the Fourth Proportional to 520,337.64, 718,079.94 and 293,978.28

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Solution

The fourth proportional to 520,337.64, 718,079.94 and 293,978.28 is: 405,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,337.64 : 718,079.94 = 293,978.28 : x
  2. Step 2: Convert to fraction form
    520,337.64/718,079.94 = 293,978.28/x
  3. Step 3: Cross multiply
    520,337.64x = 718,079.94 × 293,978.28
  4. Step 4: Simplify right side
    520,337.64x = 211,099,905,663.70
  5. Step 5: Solve for x
    x = 211,099,905,663.70/520,337.64
  6. Step 6: Final answer
    x = 405,697.93

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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.