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Finding the Fourth Proportional to 390,077.84, 585,064.92 and 153,356.96

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Solution

The fourth proportional to 390,077.84, 585,064.92 and 153,356.96 is: 230,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,077.84 : 585,064.92 = 153,356.96 : x
  2. Step 2: Convert to fraction form
    390,077.84/585,064.92 = 153,356.96/x
  3. Step 3: Cross multiply
    390,077.84x = 585,064.92 × 153,356.96
  4. Step 4: Simplify right side
    390,077.84x = 89,723,777,533.84
  5. Step 5: Solve for x
    x = 89,723,777,533.84/390,077.84
  6. Step 6: Final answer
    x = 230,015.06

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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.