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Finding the Fourth Proportional to 438,438.40, 657,657.60 and 142,950.40

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Solution

The fourth proportional to 438,438.40, 657,657.60 and 142,950.40 is: 214,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,438.40 : 657,657.60 = 142,950.40 : x
  2. Step 2: Convert to fraction form
    438,438.40/657,657.60 = 142,950.40/x
  3. Step 3: Cross multiply
    438,438.40x = 657,657.60 × 142,950.40
  4. Step 4: Simplify right side
    438,438.40x = 94,012,416,983.04
  5. Step 5: Solve for x
    x = 94,012,416,983.04/438,438.40
  6. Step 6: Final answer
    x = 214,425.60

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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.