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Finding the Fourth Proportional to 469,965.31, 648,547.70 and 255,100.77

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Solution

The fourth proportional to 469,965.31, 648,547.70 and 255,100.77 is: 352,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,965.31 : 648,547.70 = 255,100.77 : x
  2. Step 2: Convert to fraction form
    469,965.31/648,547.70 = 255,100.77/x
  3. Step 3: Cross multiply
    469,965.31x = 648,547.70 × 255,100.77
  4. Step 4: Simplify right side
    469,965.31x = 165,445,016,376.23
  5. Step 5: Solve for x
    x = 165,445,016,376.23/469,965.31
  6. Step 6: Final answer
    x = 352,036.66

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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.