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Finding the Fourth Proportional to 307,055.31, 423,729.95 and 171,088.71

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Solution

The fourth proportional to 307,055.31, 423,729.95 and 171,088.71 is: 236,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,055.31 : 423,729.95 = 171,088.71 : x
  2. Step 2: Convert to fraction form
    307,055.31/423,729.95 = 171,088.71/x
  3. Step 3: Cross multiply
    307,055.31x = 423,729.95 × 171,088.71
  4. Step 4: Simplify right side
    307,055.31x = 72,495,409,678.42
  5. Step 5: Solve for x
    x = 72,495,409,678.42/307,055.31
  6. Step 6: Final answer
    x = 236,098.86

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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.