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Finding the Fourth Proportional to 538,509.06, 807,859.58 and 178,701.53

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Solution

The fourth proportional to 538,509.06, 807,859.58 and 178,701.53 is: 268,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,509.06 : 807,859.58 = 178,701.53 : x
  2. Step 2: Convert to fraction form
    538,509.06/807,859.58 = 178,701.53/x
  3. Step 3: Cross multiply
    538,509.06x = 807,859.58 × 178,701.53
  4. Step 4: Simplify right side
    538,509.06x = 144,365,738,038.35
  5. Step 5: Solve for x
    x = 144,365,738,038.35/538,509.06
  6. Step 6: Final answer
    x = 268,084.14

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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.