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Finding the Fourth Proportional to 507,421.80, 761,502.06 and 408,773.52

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Solution

The fourth proportional to 507,421.80, 761,502.06 and 408,773.52 is: 613,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,421.80 : 761,502.06 = 408,773.52 : x
  2. Step 2: Convert to fraction form
    507,421.80/761,502.06 = 408,773.52/x
  3. Step 3: Cross multiply
    507,421.80x = 761,502.06 × 408,773.52
  4. Step 4: Simplify right side
    507,421.80x = 311,281,877,553.45
  5. Step 5: Solve for x
    x = 311,281,877,553.45/507,421.80
  6. Step 6: Final answer
    x = 613,457.83

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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.