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Finding the Fourth Proportional to 531,830.36, 733,939.74 and 290,117

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Solution

The fourth proportional to 531,830.36, 733,939.74 and 290,117 is: 400,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,830.36 : 733,939.74 = 290,117 : x
  2. Step 2: Convert to fraction form
    531,830.36/733,939.74 = 290,117/x
  3. Step 3: Cross multiply
    531,830.36x = 733,939.74 × 290,117
  4. Step 4: Simplify right side
    531,830.36x = 212,928,395,549.58
  5. Step 5: Solve for x
    x = 212,928,395,549.58/531,830.36
  6. Step 6: Final answer
    x = 400,369.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.