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Finding the Fourth Proportional to 401,280.28, 602,117.64 and 161,384.60

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Solution

The fourth proportional to 401,280.28, 602,117.64 and 161,384.60 is: 242,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,280.28 : 602,117.64 = 161,384.60 : x
  2. Step 2: Convert to fraction form
    401,280.28/602,117.64 = 161,384.60/x
  3. Step 3: Cross multiply
    401,280.28x = 602,117.64 × 161,384.60
  4. Step 4: Simplify right side
    401,280.28x = 97,172,514,484.34
  5. Step 5: Solve for x
    x = 97,172,514,484.34/401,280.28
  6. Step 6: Final answer
    x = 242,156.22

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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.