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Finding the Fourth Proportional to 604,652.16, 834,764.14 and 400,978.05

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Solution

The fourth proportional to 604,652.16, 834,764.14 and 400,978.05 is: 553,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,652.16 : 834,764.14 = 400,978.05 : x
  2. Step 2: Convert to fraction form
    604,652.16/834,764.14 = 400,978.05/x
  3. Step 3: Cross multiply
    604,652.16x = 834,764.14 × 400,978.05
  4. Step 4: Simplify right side
    604,652.16x = 334,722,097,067.13
  5. Step 5: Solve for x
    x = 334,722,097,067.13/604,652.16
  6. Step 6: Final answer
    x = 553,577.94

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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.