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Finding the Fourth Proportional to 507,817.60, 761,920.80 and 499,847.20

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Solution

The fourth proportional to 507,817.60, 761,920.80 and 499,847.20 is: 749,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,817.60 : 761,920.80 = 499,847.20 : x
  2. Step 2: Convert to fraction form
    507,817.60/761,920.80 = 499,847.20/x
  3. Step 3: Cross multiply
    507,817.60x = 761,920.80 × 499,847.20
  4. Step 4: Simplify right side
    507,817.60x = 380,843,978,501.76
  5. Step 5: Solve for x
    x = 380,843,978,501.76/507,817.60
  6. Step 6: Final answer
    x = 749,962.15

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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.