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Finding the Fourth Proportional to 316,298.51, 474,448.07 and 129,310.01

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Solution

The fourth proportional to 316,298.51, 474,448.07 and 129,310.01 is: 193,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,298.51 : 474,448.07 = 129,310.01 : x
  2. Step 2: Convert to fraction form
    316,298.51/474,448.07 = 129,310.01/x
  3. Step 3: Cross multiply
    316,298.51x = 474,448.07 × 129,310.01
  4. Step 4: Simplify right side
    316,298.51x = 61,350,884,676.18
  5. Step 5: Solve for x
    x = 61,350,884,676.18/316,298.51
  6. Step 6: Final answer
    x = 193,965.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.