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Finding the Fourth Proportional to 401,897.80, 602,627.70 and 121,378.60

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Solution

The fourth proportional to 401,897.80, 602,627.70 and 121,378.60 is: 182,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,897.80 : 602,627.70 = 121,378.60 : x
  2. Step 2: Convert to fraction form
    401,897.80/602,627.70 = 121,378.60/x
  3. Step 3: Cross multiply
    401,897.80x = 602,627.70 × 121,378.60
  4. Step 4: Simplify right side
    401,897.80x = 73,146,106,547.22
  5. Step 5: Solve for x
    x = 73,146,106,547.22/401,897.80
  6. Step 6: Final answer
    x = 182,001.76

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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.