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Finding the Fourth Proportional to 803,773, 1,205,298.24 and 578,188

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Solution

The fourth proportional to 803,773, 1,205,298.24 and 578,188 is: 867,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,773 : 1,205,298.24 = 578,188 : x
  2. Step 2: Convert to fraction form
    803,773/1,205,298.24 = 578,188/x
  3. Step 3: Cross multiply
    803,773x = 1,205,298.24 × 578,188
  4. Step 4: Simplify right side
    803,773x = 696,888,978,789.12
  5. Step 5: Solve for x
    x = 696,888,978,789.12/803,773
  6. Step 6: Final answer
    x = 867,022.13

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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.