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Finding the Fourth Proportional to 287,071.66, 430,673.01 and 87,420.34

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Solution

The fourth proportional to 287,071.66, 430,673.01 and 87,420.34 is: 131,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,071.66 : 430,673.01 = 87,420.34 : x
  2. Step 2: Convert to fraction form
    287,071.66/430,673.01 = 87,420.34/x
  3. Step 3: Cross multiply
    287,071.66x = 430,673.01 × 87,420.34
  4. Step 4: Simplify right side
    287,071.66x = 37,649,580,963.02
  5. Step 5: Solve for x
    x = 37,649,580,963.02/287,071.66
  6. Step 6: Final answer
    x = 131,150.46

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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.