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Finding the Fourth Proportional to 438,283.40, 657,233.10 and 201,547.40

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Solution

The fourth proportional to 438,283.40, 657,233.10 and 201,547.40 is: 302,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,283.40 : 657,233.10 = 201,547.40 : x
  2. Step 2: Convert to fraction form
    438,283.40/657,233.10 = 201,547.40/x
  3. Step 3: Cross multiply
    438,283.40x = 657,233.10 × 201,547.40
  4. Step 4: Simplify right side
    438,283.40x = 132,463,622,498.94
  5. Step 5: Solve for x
    x = 132,463,622,498.94/438,283.40
  6. Step 6: Final answer
    x = 302,232.81

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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.