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Finding the Fourth Proportional to 295,818.48, 407,369.52 and 257,040

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Solution

The fourth proportional to 295,818.48, 407,369.52 and 257,040 is: 353,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,818.48 : 407,369.52 = 257,040 : x
  2. Step 2: Convert to fraction form
    295,818.48/407,369.52 = 257,040/x
  3. Step 3: Cross multiply
    295,818.48x = 407,369.52 × 257,040
  4. Step 4: Simplify right side
    295,818.48x = 104,710,261,420.80
  5. Step 5: Solve for x
    x = 104,710,261,420.80/295,818.48
  6. Step 6: Final answer
    x = 353,967.95

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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.