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Finding the Fourth Proportional to 287,206.57, 430,826.05 and 87,533.47

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Solution

The fourth proportional to 287,206.57, 430,826.05 and 87,533.47 is: 131,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,206.57 : 430,826.05 = 87,533.47 : x
  2. Step 2: Convert to fraction form
    287,206.57/430,826.05 = 87,533.47/x
  3. Step 3: Cross multiply
    287,206.57x = 430,826.05 × 87,533.47
  4. Step 4: Simplify right side
    287,206.57x = 37,711,697,101.26
  5. Step 5: Solve for x
    x = 37,711,697,101.26/287,206.57
  6. Step 6: Final answer
    x = 131,305.14

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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.