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Finding the Fourth Proportional to 553,542.40, 830,702.40 and 238,225.60

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Solution

The fourth proportional to 553,542.40, 830,702.40 and 238,225.60 is: 357,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,542.40 : 830,702.40 = 238,225.60 : x
  2. Step 2: Convert to fraction form
    553,542.40/830,702.40 = 238,225.60/x
  3. Step 3: Cross multiply
    553,542.40x = 830,702.40 × 238,225.60
  4. Step 4: Simplify right side
    553,542.40x = 197,894,577,661.44
  5. Step 5: Solve for x
    x = 197,894,577,661.44/553,542.40
  6. Step 6: Final answer
    x = 357,505.73

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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.