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Finding the Fourth Proportional to 553,695.40, 830,931.90 and 238,378.60

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Solution

The fourth proportional to 553,695.40, 830,931.90 and 238,378.60 is: 357,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,695.40 : 830,931.90 = 238,378.60 : x
  2. Step 2: Convert to fraction form
    553,695.40/830,931.90 = 238,378.60/x
  3. Step 3: Cross multiply
    553,695.40x = 830,931.90 × 238,378.60
  4. Step 4: Simplify right side
    553,695.40x = 198,076,383,017.34
  5. Step 5: Solve for x
    x = 198,076,383,017.34/553,695.40
  6. Step 6: Final answer
    x = 357,735.29

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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.