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Finding the Fourth Proportional to 401,547.78, 602,377.22 and 135,384.41

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Solution

The fourth proportional to 401,547.78, 602,377.22 and 135,384.41 is: 203,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,547.78 : 602,377.22 = 135,384.41 : x
  2. Step 2: Convert to fraction form
    401,547.78/602,377.22 = 135,384.41/x
  3. Step 3: Cross multiply
    401,547.78x = 602,377.22 × 135,384.41
  4. Step 4: Simplify right side
    401,547.78x = 81,552,486,371.54
  5. Step 5: Solve for x
    x = 81,552,486,371.54/401,547.78
  6. Step 6: Final answer
    x = 203,095.35

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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.