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Finding the Fourth Proportional to 552,098.60, 761,878.32 and 310,391.32

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Solution

The fourth proportional to 552,098.60, 761,878.32 and 310,391.32 is: 428,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,098.60 : 761,878.32 = 310,391.32 : x
  2. Step 2: Convert to fraction form
    552,098.60/761,878.32 = 310,391.32/x
  3. Step 3: Cross multiply
    552,098.60x = 761,878.32 × 310,391.32
  4. Step 4: Simplify right side
    552,098.60x = 236,480,417,424.18
  5. Step 5: Solve for x
    x = 236,480,417,424.18/552,098.60
  6. Step 6: Final answer
    x = 428,330.04

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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.