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Finding the Fourth Proportional to 311,860.66, 430,365.20 and 181,050.45

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Solution

The fourth proportional to 311,860.66, 430,365.20 and 181,050.45 is: 249,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,860.66 : 430,365.20 = 181,050.45 : x
  2. Step 2: Convert to fraction form
    311,860.66/430,365.20 = 181,050.45/x
  3. Step 3: Cross multiply
    311,860.66x = 430,365.20 × 181,050.45
  4. Step 4: Simplify right side
    311,860.66x = 77,917,813,124.34
  5. Step 5: Solve for x
    x = 77,917,813,124.34/311,860.66
  6. Step 6: Final answer
    x = 249,848.16

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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.