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Finding the Fourth Proportional to 390,136, 538,431.51 and 220,381.06

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Solution

The fourth proportional to 390,136, 538,431.51 and 220,381.06 is: 304,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,136 : 538,431.51 = 220,381.06 : x
  2. Step 2: Convert to fraction form
    390,136/538,431.51 = 220,381.06/x
  3. Step 3: Cross multiply
    390,136x = 538,431.51 × 220,381.06
  4. Step 4: Simplify right side
    390,136x = 118,660,106,911.20
  5. Step 5: Solve for x
    x = 118,660,106,911.20/390,136
  6. Step 6: Final answer
    x = 304,150.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.