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Finding the Fourth Proportional to 580,473.20, 870,779.02 and 280,738.40

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Solution

The fourth proportional to 580,473.20, 870,779.02 and 280,738.40 is: 421,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,473.20 : 870,779.02 = 280,738.40 : x
  2. Step 2: Convert to fraction form
    580,473.20/870,779.02 = 280,738.40/x
  3. Step 3: Cross multiply
    580,473.20x = 870,779.02 × 280,738.40
  4. Step 4: Simplify right side
    580,473.20x = 244,461,108,828.37
  5. Step 5: Solve for x
    x = 244,461,108,828.37/580,473.20
  6. Step 6: Final answer
    x = 421,141.08

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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.