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Finding the Fourth Proportional to 520,643.40, 780,090.30 and 253,829.40

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Solution

The fourth proportional to 520,643.40, 780,090.30 and 253,829.40 is: 380,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,643.40 : 780,090.30 = 253,829.40 : x
  2. Step 2: Convert to fraction form
    520,643.40/780,090.30 = 253,829.40/x
  3. Step 3: Cross multiply
    520,643.40x = 780,090.30 × 253,829.40
  4. Step 4: Simplify right side
    520,643.40x = 198,009,852,794.82
  5. Step 5: Solve for x
    x = 198,009,852,794.82/520,643.40
  6. Step 6: Final answer
    x = 380,317.61

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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.