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Finding the Fourth Proportional to 287,071.20, 430,557.12 and 87,343.20

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Solution

The fourth proportional to 287,071.20, 430,557.12 and 87,343.20 is: 130,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,071.20 : 430,557.12 = 87,343.20 : x
  2. Step 2: Convert to fraction form
    287,071.20/430,557.12 = 87,343.20/x
  3. Step 3: Cross multiply
    287,071.20x = 430,557.12 × 87,343.20
  4. Step 4: Simplify right side
    287,071.20x = 37,606,236,643.58
  5. Step 5: Solve for x
    x = 37,606,236,643.58/287,071.20
  6. Step 6: Final answer
    x = 130,999.68

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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.