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Finding the Fourth Proportional to 505,428, 696,922.02 and 413,259.72

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Solution

The fourth proportional to 505,428, 696,922.02 and 413,259.72 is: 569,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,428 : 696,922.02 = 413,259.72 : x
  2. Step 2: Convert to fraction form
    505,428/696,922.02 = 413,259.72/x
  3. Step 3: Cross multiply
    505,428x = 696,922.02 × 413,259.72
  4. Step 4: Simplify right side
    505,428x = 288,009,798,847.03
  5. Step 5: Solve for x
    x = 288,009,798,847.03/505,428
  6. Step 6: Final answer
    x = 569,833.49

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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.