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Finding the Fourth Proportional to 287,058.80, 430,588.20 and 162,642.80

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Solution

The fourth proportional to 287,058.80, 430,588.20 and 162,642.80 is: 243,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,058.80 : 430,588.20 = 162,642.80 : x
  2. Step 2: Convert to fraction form
    287,058.80/430,588.20 = 162,642.80/x
  3. Step 3: Cross multiply
    287,058.80x = 430,588.20 × 162,642.80
  4. Step 4: Simplify right side
    287,058.80x = 70,032,070,494.96
  5. Step 5: Solve for x
    x = 70,032,070,494.96/287,058.80
  6. Step 6: Final answer
    x = 243,964.20

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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.