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Finding the Fourth Proportional to 313,477.79, 432,731.72 and 211,641.14

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Solution

The fourth proportional to 313,477.79, 432,731.72 and 211,641.14 is: 292,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,477.79 : 432,731.72 = 211,641.14 : x
  2. Step 2: Convert to fraction form
    313,477.79/432,731.72 = 211,641.14/x
  3. Step 3: Cross multiply
    313,477.79x = 432,731.72 × 211,641.14
  4. Step 4: Simplify right side
    313,477.79x = 91,583,831,313.10
  5. Step 5: Solve for x
    x = 91,583,831,313.10/313,477.79
  6. Step 6: Final answer
    x = 292,154.14

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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.