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Finding the Fourth Proportional to 357,051.60, 534,702.60 and 238,078.80

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Solution

The fourth proportional to 357,051.60, 534,702.60 and 238,078.80 is: 356,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,051.60 : 534,702.60 = 238,078.80 : x
  2. Step 2: Convert to fraction form
    357,051.60/534,702.60 = 238,078.80/x
  3. Step 3: Cross multiply
    357,051.60x = 534,702.60 × 238,078.80
  4. Step 4: Simplify right side
    357,051.60x = 127,301,353,364.88
  5. Step 5: Solve for x
    x = 127,301,353,364.88/357,051.60
  6. Step 6: Final answer
    x = 356,534.89

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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.