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Finding the Fourth Proportional to 506,533.50, 760,062.69 and 257,215.50

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Solution

The fourth proportional to 506,533.50, 760,062.69 and 257,215.50 is: 385,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,533.50 : 760,062.69 = 257,215.50 : x
  2. Step 2: Convert to fraction form
    506,533.50/760,062.69 = 257,215.50/x
  3. Step 3: Cross multiply
    506,533.50x = 760,062.69 × 257,215.50
  4. Step 4: Simplify right side
    506,533.50x = 195,499,904,839.70
  5. Step 5: Solve for x
    x = 195,499,904,839.70/506,533.50
  6. Step 6: Final answer
    x = 385,956.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.