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Finding the Fourth Proportional to 312,281.64, 430,948.92 and 169,041.24

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Solution

The fourth proportional to 312,281.64, 430,948.92 and 169,041.24 is: 233,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,281.64 : 430,948.92 = 169,041.24 : x
  2. Step 2: Convert to fraction form
    312,281.64/430,948.92 = 169,041.24/x
  3. Step 3: Cross multiply
    312,281.64x = 430,948.92 × 169,041.24
  4. Step 4: Simplify right side
    312,281.64x = 72,848,139,813.46
  5. Step 5: Solve for x
    x = 72,848,139,813.46/312,281.64
  6. Step 6: Final answer
    x = 233,277.05

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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.