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Finding the Fourth Proportional to 553,498.20, 830,441.70 and 238,051.80

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Solution

The fourth proportional to 553,498.20, 830,441.70 and 238,051.80 is: 357,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,498.20 : 830,441.70 = 238,051.80 : x
  2. Step 2: Convert to fraction form
    553,498.20/830,441.70 = 238,051.80/x
  3. Step 3: Cross multiply
    553,498.20x = 830,441.70 × 238,051.80
  4. Step 4: Simplify right side
    553,498.20x = 197,688,141,480.06
  5. Step 5: Solve for x
    x = 197,688,141,480.06/553,498.20
  6. Step 6: Final answer
    x = 357,161.31

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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.