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Finding the Fourth Proportional to 776,272.32, 1,071,272.64 and 432,126

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Solution

The fourth proportional to 776,272.32, 1,071,272.64 and 432,126 is: 596,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,272.32 : 1,071,272.64 = 432,126 : x
  2. Step 2: Convert to fraction form
    776,272.32/1,071,272.64 = 432,126/x
  3. Step 3: Cross multiply
    776,272.32x = 1,071,272.64 × 432,126
  4. Step 4: Simplify right side
    776,272.32x = 462,924,760,832.64
  5. Step 5: Solve for x
    x = 462,924,760,832.64/776,272.32
  6. Step 6: Final answer
    x = 596,343.25

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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.