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Finding the Fourth Proportional to 313,689.07, 470,269.02 and 136,062.28

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Solution

The fourth proportional to 313,689.07, 470,269.02 and 136,062.28 is: 203,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,689.07 : 470,269.02 = 136,062.28 : x
  2. Step 2: Convert to fraction form
    313,689.07/470,269.02 = 136,062.28/x
  3. Step 3: Cross multiply
    313,689.07x = 470,269.02 × 136,062.28
  4. Step 4: Simplify right side
    313,689.07x = 63,985,875,074.57
  5. Step 5: Solve for x
    x = 63,985,875,074.57/313,689.07
  6. Step 6: Final answer
    x = 203,978.66

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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.