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Finding the Fourth Proportional to 403,777.30, 604,985.55 and 319,213.30

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Solution

The fourth proportional to 403,777.30, 604,985.55 and 319,213.30 is: 478,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,777.30 : 604,985.55 = 319,213.30 : x
  2. Step 2: Convert to fraction form
    403,777.30/604,985.55 = 319,213.30/x
  3. Step 3: Cross multiply
    403,777.30x = 604,985.55 × 319,213.30
  4. Step 4: Simplify right side
    403,777.30x = 193,119,433,867.82
  5. Step 5: Solve for x
    x = 193,119,433,867.82/403,777.30
  6. Step 6: Final answer
    x = 478,282.05

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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.