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Finding the Fourth Proportional to 287,651.93, 396,795.06 and 180,035.13

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Solution

The fourth proportional to 287,651.93, 396,795.06 and 180,035.13 is: 248,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,651.93 : 396,795.06 = 180,035.13 : x
  2. Step 2: Convert to fraction form
    287,651.93/396,795.06 = 180,035.13/x
  3. Step 3: Cross multiply
    287,651.93x = 396,795.06 × 180,035.13
  4. Step 4: Simplify right side
    287,651.93x = 71,437,050,210.46
  5. Step 5: Solve for x
    x = 71,437,050,210.46/287,651.93
  6. Step 6: Final answer
    x = 248,345.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.