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Finding the Fourth Proportional to 390,412.20, 585,704.70 and 179,999.40

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Solution

The fourth proportional to 390,412.20, 585,704.70 and 179,999.40 is: 270,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,412.20 : 585,704.70 = 179,999.40 : x
  2. Step 2: Convert to fraction form
    390,412.20/585,704.70 = 179,999.40/x
  3. Step 3: Cross multiply
    390,412.20x = 585,704.70 × 179,999.40
  4. Step 4: Simplify right side
    390,412.20x = 105,426,494,577.18
  5. Step 5: Solve for x
    x = 105,426,494,577.18/390,412.20
  6. Step 6: Final answer
    x = 270,038.93

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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.