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Finding the Fourth Proportional to 530,884, 732,619.96 and 292,420

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Solution

The fourth proportional to 530,884, 732,619.96 and 292,420 is: 403,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,884 : 732,619.96 = 292,420 : x
  2. Step 2: Convert to fraction form
    530,884/732,619.96 = 292,420/x
  3. Step 3: Cross multiply
    530,884x = 732,619.96 × 292,420
  4. Step 4: Simplify right side
    530,884x = 214,232,728,703.20
  5. Step 5: Solve for x
    x = 214,232,728,703.20/530,884
  6. Step 6: Final answer
    x = 403,539.62

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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.