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Finding the Fourth Proportional to 312,303.29, 430,978.44 and 169,063.20

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Solution

The fourth proportional to 312,303.29, 430,978.44 and 169,063.20 is: 233,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,303.29 : 430,978.44 = 169,063.20 : x
  2. Step 2: Convert to fraction form
    312,303.29/430,978.44 = 169,063.20/x
  3. Step 3: Cross multiply
    312,303.29x = 430,978.44 × 169,063.20
  4. Step 4: Simplify right side
    312,303.29x = 72,862,594,197.41
  5. Step 5: Solve for x
    x = 72,862,594,197.41/312,303.29
  6. Step 6: Final answer
    x = 233,307.17

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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.