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Finding the Fourth Proportional to 407,380.32, 610,185.96 and 249,129

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Solution

The fourth proportional to 407,380.32, 610,185.96 and 249,129 is: 373,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,380.32 : 610,185.96 = 249,129 : x
  2. Step 2: Convert to fraction form
    407,380.32/610,185.96 = 249,129/x
  3. Step 3: Cross multiply
    407,380.32x = 610,185.96 × 249,129
  4. Step 4: Simplify right side
    407,380.32x = 152,015,018,028.84
  5. Step 5: Solve for x
    x = 152,015,018,028.84/407,380.32
  6. Step 6: Final answer
    x = 373,152.58

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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.