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Finding the Fourth Proportional to 287,020.16, 430,595.76 and 87,368.84

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Solution

The fourth proportional to 287,020.16, 430,595.76 and 87,368.84 is: 131,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,020.16 : 430,595.76 = 87,368.84 : x
  2. Step 2: Convert to fraction form
    287,020.16/430,595.76 = 87,368.84/x
  3. Step 3: Cross multiply
    287,020.16x = 430,595.76 × 87,368.84
  4. Step 4: Simplify right side
    287,020.16x = 37,620,652,060.12
  5. Step 5: Solve for x
    x = 37,620,652,060.12/287,020.16
  6. Step 6: Final answer
    x = 131,073.20

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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.