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Finding the Fourth Proportional to 507,978.80, 701,011.73 and 281,624.30

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Solution

The fourth proportional to 507,978.80, 701,011.73 and 281,624.30 is: 388,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,978.80 : 701,011.73 = 281,624.30 : x
  2. Step 2: Convert to fraction form
    507,978.80/701,011.73 = 281,624.30/x
  3. Step 3: Cross multiply
    507,978.80x = 701,011.73 × 281,624.30
  4. Step 4: Simplify right side
    507,978.80x = 197,421,937,753.04
  5. Step 5: Solve for x
    x = 197,421,937,753.04/507,978.80
  6. Step 6: Final answer
    x = 388,642.08

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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.