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Finding the Fourth Proportional to 287,701.20, 432,005.40 and 169,462.80

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Solution

The fourth proportional to 287,701.20, 432,005.40 and 169,462.80 is: 254,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,701.20 : 432,005.40 = 169,462.80 : x
  2. Step 2: Convert to fraction form
    287,701.20/432,005.40 = 169,462.80/x
  3. Step 3: Cross multiply
    287,701.20x = 432,005.40 × 169,462.80
  4. Step 4: Simplify right side
    287,701.20x = 73,208,844,699.12
  5. Step 5: Solve for x
    x = 73,208,844,699.12/287,701.20
  6. Step 6: Final answer
    x = 254,461.38

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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.