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Finding the Fourth Proportional to 580,214.40, 870,460.80 and 243,068.16

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Solution

The fourth proportional to 580,214.40, 870,460.80 and 243,068.16 is: 364,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,214.40 : 870,460.80 = 243,068.16 : x
  2. Step 2: Convert to fraction form
    580,214.40/870,460.80 = 243,068.16/x
  3. Step 3: Cross multiply
    580,214.40x = 870,460.80 × 243,068.16
  4. Step 4: Simplify right side
    580,214.40x = 211,581,305,008.13
  5. Step 5: Solve for x
    x = 211,581,305,008.13/580,214.40
  6. Step 6: Final answer
    x = 364,660.55

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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.