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Finding the Fourth Proportional to 295,718.40, 443,577.60 and 138,254.40

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Solution

The fourth proportional to 295,718.40, 443,577.60 and 138,254.40 is: 207,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,718.40 : 443,577.60 = 138,254.40 : x
  2. Step 2: Convert to fraction form
    295,718.40/443,577.60 = 138,254.40/x
  3. Step 3: Cross multiply
    295,718.40x = 443,577.60 × 138,254.40
  4. Step 4: Simplify right side
    295,718.40x = 61,326,554,941.44
  5. Step 5: Solve for x
    x = 61,326,554,941.44/295,718.40
  6. Step 6: Final answer
    x = 207,381.60

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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.