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Finding the Fourth Proportional to 403,456.80, 605,768.40 and 304,312.80

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Solution

The fourth proportional to 403,456.80, 605,768.40 and 304,312.80 is: 456,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,456.80 : 605,768.40 = 304,312.80 : x
  2. Step 2: Convert to fraction form
    403,456.80/605,768.40 = 304,312.80/x
  3. Step 3: Cross multiply
    403,456.80x = 605,768.40 × 304,312.80
  4. Step 4: Simplify right side
    403,456.80x = 184,343,077,955.52
  5. Step 5: Solve for x
    x = 184,343,077,955.52/403,456.80
  6. Step 6: Final answer
    x = 456,909.09

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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.