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Finding the Fourth Proportional to 580,085.10, 870,127.65 and 540,719.10

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Solution

The fourth proportional to 580,085.10, 870,127.65 and 540,719.10 is: 811,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,085.10 : 870,127.65 = 540,719.10 : x
  2. Step 2: Convert to fraction form
    580,085.10/870,127.65 = 540,719.10/x
  3. Step 3: Cross multiply
    580,085.10x = 870,127.65 × 540,719.10
  4. Step 4: Simplify right side
    580,085.10x = 470,494,639,793.12
  5. Step 5: Solve for x
    x = 470,494,639,793.12/580,085.10
  6. Step 6: Final answer
    x = 811,078.65

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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.