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Finding the Fourth Proportional to 478,848.39, 717,787.80 and 310,475.31

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Solution

The fourth proportional to 478,848.39, 717,787.80 and 310,475.31 is: 465,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,848.39 : 717,787.80 = 310,475.31 : x
  2. Step 2: Convert to fraction form
    478,848.39/717,787.80 = 310,475.31/x
  3. Step 3: Cross multiply
    478,848.39x = 717,787.80 × 310,475.31
  4. Step 4: Simplify right side
    478,848.39x = 222,855,389,719.22
  5. Step 5: Solve for x
    x = 222,855,389,719.22/478,848.39
  6. Step 6: Final answer
    x = 465,398.64

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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.