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Finding the Fourth Proportional to 401,382, 602,113.32 and 105,894

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Solution

The fourth proportional to 401,382, 602,113.32 and 105,894 is: 158,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,382 : 602,113.32 = 105,894 : x
  2. Step 2: Convert to fraction form
    401,382/602,113.32 = 105,894/x
  3. Step 3: Cross multiply
    401,382x = 602,113.32 × 105,894
  4. Step 4: Simplify right side
    401,382x = 63,760,187,908.08
  5. Step 5: Solve for x
    x = 63,760,187,908.08/401,382
  6. Step 6: Final answer
    x = 158,851.64

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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.