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Finding the Fourth Proportional to 507,701.16, 761,572.77 and 418,789.08

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Solution

The fourth proportional to 507,701.16, 761,572.77 and 418,789.08 is: 628,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,701.16 : 761,572.77 = 418,789.08 : x
  2. Step 2: Convert to fraction form
    507,701.16/761,572.77 = 418,789.08/x
  3. Step 3: Cross multiply
    507,701.16x = 761,572.77 × 418,789.08
  4. Step 4: Simplify right side
    507,701.16x = 318,938,359,701.35
  5. Step 5: Solve for x
    x = 318,938,359,701.35/507,701.16
  6. Step 6: Final answer
    x = 628,200.97

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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.