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Finding the Fourth Proportional to 403,765.30, 604,967.55 and 319,201.30

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Solution

The fourth proportional to 403,765.30, 604,967.55 and 319,201.30 is: 478,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,765.30 : 604,967.55 = 319,201.30 : x
  2. Step 2: Convert to fraction form
    403,765.30/604,967.55 = 319,201.30/x
  3. Step 3: Cross multiply
    403,765.30x = 604,967.55 × 319,201.30
  4. Step 4: Simplify right side
    403,765.30x = 193,106,428,417.82
  5. Step 5: Solve for x
    x = 193,106,428,417.82/403,765.30
  6. Step 6: Final answer
    x = 478,264.05

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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.