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Finding the Fourth Proportional to 458,860.80, 686,908.80 and 409,094.40

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Solution

The fourth proportional to 458,860.80, 686,908.80 and 409,094.40 is: 612,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,860.80 : 686,908.80 = 409,094.40 : x
  2. Step 2: Convert to fraction form
    458,860.80/686,908.80 = 409,094.40/x
  3. Step 3: Cross multiply
    458,860.80x = 686,908.80 × 409,094.40
  4. Step 4: Simplify right side
    458,860.80x = 281,010,543,390.72
  5. Step 5: Solve for x
    x = 281,010,543,390.72/458,860.80
  6. Step 6: Final answer
    x = 612,409.13

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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.