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Finding the Fourth Proportional to 518,322.95, 776,475.67 and 293,001.81

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Solution

The fourth proportional to 518,322.95, 776,475.67 and 293,001.81 is: 438,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,322.95 : 776,475.67 = 293,001.81 : x
  2. Step 2: Convert to fraction form
    518,322.95/776,475.67 = 293,001.81/x
  3. Step 3: Cross multiply
    518,322.95x = 776,475.67 × 293,001.81
  4. Step 4: Simplify right side
    518,322.95x = 227,508,773,636.05
  5. Step 5: Solve for x
    x = 227,508,773,636.05/518,322.95
  6. Step 6: Final answer
    x = 438,932.47

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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.