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Finding the Fourth Proportional to 507,888, 700,909.74 and 281,533.50

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Solution

The fourth proportional to 507,888, 700,909.74 and 281,533.50 is: 388,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,888 : 700,909.74 = 281,533.50 : x
  2. Step 2: Convert to fraction form
    507,888/700,909.74 = 281,533.50/x
  3. Step 3: Cross multiply
    507,888x = 700,909.74 × 281,533.50
  4. Step 4: Simplify right side
    507,888x = 197,329,572,286.29
  5. Step 5: Solve for x
    x = 197,329,572,286.29/507,888
  6. Step 6: Final answer
    x = 388,529.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.