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Finding the Fourth Proportional to 507,533.77, 761,225.47 and 307,800.53

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Solution

The fourth proportional to 507,533.77, 761,225.47 and 307,800.53 is: 461,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,533.77 : 761,225.47 = 307,800.53 : x
  2. Step 2: Convert to fraction form
    507,533.77/761,225.47 = 307,800.53/x
  3. Step 3: Cross multiply
    507,533.77x = 761,225.47 × 307,800.53
  4. Step 4: Simplify right side
    507,533.77x = 234,305,598,539.87
  5. Step 5: Solve for x
    x = 234,305,598,539.87/507,533.77
  6. Step 6: Final answer
    x = 461,655.19

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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.