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Finding the Fourth Proportional to 401,461.60, 602,192.40 and 135,133.60

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Solution

The fourth proportional to 401,461.60, 602,192.40 and 135,133.60 is: 202,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,461.60 : 602,192.40 = 135,133.60 : x
  2. Step 2: Convert to fraction form
    401,461.60/602,192.40 = 135,133.60/x
  3. Step 3: Cross multiply
    401,461.60x = 602,192.40 × 135,133.60
  4. Step 4: Simplify right side
    401,461.60x = 81,376,426,904.64
  5. Step 5: Solve for x
    x = 81,376,426,904.64/401,461.60
  6. Step 6: Final answer
    x = 202,700.40

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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.