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Finding the Fourth Proportional to 317,284.80, 475,948.80 and 101,126.40

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Solution

The fourth proportional to 317,284.80, 475,948.80 and 101,126.40 is: 151,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,284.80 : 475,948.80 = 101,126.40 : x
  2. Step 2: Convert to fraction form
    317,284.80/475,948.80 = 101,126.40/x
  3. Step 3: Cross multiply
    317,284.80x = 475,948.80 × 101,126.40
  4. Step 4: Simplify right side
    317,284.80x = 48,130,988,728.32
  5. Step 5: Solve for x
    x = 48,130,988,728.32/317,284.80
  6. Step 6: Final answer
    x = 151,696.48

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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.