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Finding the Fourth Proportional to 286,925.51, 430,203.65 and 137,162.45

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Solution

The fourth proportional to 286,925.51, 430,203.65 and 137,162.45 is: 205,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,925.51 : 430,203.65 = 137,162.45 : x
  2. Step 2: Convert to fraction form
    286,925.51/430,203.65 = 137,162.45/x
  3. Step 3: Cross multiply
    286,925.51x = 430,203.65 × 137,162.45
  4. Step 4: Simplify right side
    286,925.51x = 59,007,783,796.11
  5. Step 5: Solve for x
    x = 59,007,783,796.11/286,925.51
  6. Step 6: Final answer
    x = 205,655.41

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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.