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Finding the Fourth Proportional to 312,368.10, 468,547.98 and 75,712.80

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Solution

The fourth proportional to 312,368.10, 468,547.98 and 75,712.80 is: 113,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,368.10 : 468,547.98 = 75,712.80 : x
  2. Step 2: Convert to fraction form
    312,368.10/468,547.98 = 75,712.80/x
  3. Step 3: Cross multiply
    312,368.10x = 468,547.98 × 75,712.80
  4. Step 4: Simplify right side
    312,368.10x = 35,475,079,500.14
  5. Step 5: Solve for x
    x = 35,475,079,500.14/312,368.10
  6. Step 6: Final answer
    x = 113,568.19

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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.