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Finding the Fourth Proportional to 291,554.30, 402,346.95 and 162,501.10

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Solution

The fourth proportional to 291,554.30, 402,346.95 and 162,501.10 is: 224,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,554.30 : 402,346.95 = 162,501.10 : x
  2. Step 2: Convert to fraction form
    291,554.30/402,346.95 = 162,501.10/x
  3. Step 3: Cross multiply
    291,554.30x = 402,346.95 × 162,501.10
  4. Step 4: Simplify right side
    291,554.30x = 65,381,819,634.15
  5. Step 5: Solve for x
    x = 65,381,819,634.15/291,554.30
  6. Step 6: Final answer
    x = 224,252.63

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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.