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Finding the Fourth Proportional to 478,914.65, 717,886.88 and 310,541.77

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Solution

The fourth proportional to 478,914.65, 717,886.88 and 310,541.77 is: 465,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,914.65 : 717,886.88 = 310,541.77 : x
  2. Step 2: Convert to fraction form
    478,914.65/717,886.88 = 310,541.77/x
  3. Step 3: Cross multiply
    478,914.65x = 717,886.88 × 310,541.77
  4. Step 4: Simplify right side
    478,914.65x = 222,933,862,374.98
  5. Step 5: Solve for x
    x = 222,933,862,374.98/478,914.65
  6. Step 6: Final answer
    x = 465,498.11

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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.