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Finding the Fourth Proportional to 403,456.30, 605,767.65 and 304,312.30

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Solution

The fourth proportional to 403,456.30, 605,767.65 and 304,312.30 is: 456,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,456.30 : 605,767.65 = 304,312.30 : x
  2. Step 2: Convert to fraction form
    403,456.30/605,767.65 = 304,312.30/x
  3. Step 3: Cross multiply
    403,456.30x = 605,767.65 × 304,312.30
  4. Step 4: Simplify right side
    403,456.30x = 184,342,546,837.10
  5. Step 5: Solve for x
    x = 184,342,546,837.10/403,456.30
  6. Step 6: Final answer
    x = 456,908.34

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1.5x scale

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.