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Finding the Fourth Proportional to 438,537, 657,909.50 and 143,049

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Solution

The fourth proportional to 438,537, 657,909.50 and 143,049 is: 214,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,537 : 657,909.50 = 143,049 : x
  2. Step 2: Convert to fraction form
    438,537/657,909.50 = 143,049/x
  3. Step 3: Cross multiply
    438,537x = 657,909.50 × 143,049
  4. Step 4: Simplify right side
    438,537x = 94,113,296,065.50
  5. Step 5: Solve for x
    x = 94,113,296,065.50/438,537
  6. Step 6: Final answer
    x = 214,607.42

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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.