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Finding the Fourth Proportional to 538,810.50, 808,219.80 and 239,210.40

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Solution

The fourth proportional to 538,810.50, 808,219.80 and 239,210.40 is: 358,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,810.50 : 808,219.80 = 239,210.40 : x
  2. Step 2: Convert to fraction form
    538,810.50/808,219.80 = 239,210.40/x
  3. Step 3: Cross multiply
    538,810.50x = 808,219.80 × 239,210.40
  4. Step 4: Simplify right side
    538,810.50x = 193,334,581,645.92
  5. Step 5: Solve for x
    x = 193,334,581,645.92/538,810.50
  6. Step 6: Final answer
    x = 358,817.40

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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.