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Finding the Fourth Proportional to 390,107.98, 584,995.81 and 153,284.53

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Solution

The fourth proportional to 390,107.98, 584,995.81 and 153,284.53 is: 229,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,107.98 : 584,995.81 = 153,284.53 : x
  2. Step 2: Convert to fraction form
    390,107.98/584,995.81 = 153,284.53/x
  3. Step 3: Cross multiply
    390,107.98x = 584,995.81 × 153,284.53
  4. Step 4: Simplify right side
    390,107.98x = 89,670,807,787.82
  5. Step 5: Solve for x
    x = 89,670,807,787.82/390,107.98
  6. Step 6: Final answer
    x = 229,861.51

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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.