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Finding the Fourth Proportional to 316,870.74, 437,339.03 and 202,185

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Solution

The fourth proportional to 316,870.74, 437,339.03 and 202,185 is: 279,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,870.74 : 437,339.03 = 202,185 : x
  2. Step 2: Convert to fraction form
    316,870.74/437,339.03 = 202,185/x
  3. Step 3: Cross multiply
    316,870.74x = 437,339.03 × 202,185
  4. Step 4: Simplify right side
    316,870.74x = 88,423,390,769.63
  5. Step 5: Solve for x
    x = 88,423,390,769.63/316,870.74
  6. Step 6: Final answer
    x = 279,051.93

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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.