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Finding the Fourth Proportional to 553,494.20, 830,435.70 and 238,047.80

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Solution

The fourth proportional to 553,494.20, 830,435.70 and 238,047.80 is: 357,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,494.20 : 830,435.70 = 238,047.80 : x
  2. Step 2: Convert to fraction form
    553,494.20/830,435.70 = 238,047.80/x
  3. Step 3: Cross multiply
    553,494.20x = 830,435.70 × 238,047.80
  4. Step 4: Simplify right side
    553,494.20x = 197,683,391,426.46
  5. Step 5: Solve for x
    x = 197,683,391,426.46/553,494.20
  6. Step 6: Final answer
    x = 357,155.31

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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.