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Finding the Fourth Proportional to 287,089.94, 430,345.42 and 180,550.01

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Solution

The fourth proportional to 287,089.94, 430,345.42 and 180,550.01 is: 270,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,089.94 : 430,345.42 = 180,550.01 : x
  2. Step 2: Convert to fraction form
    287,089.94/430,345.42 = 180,550.01/x
  3. Step 3: Cross multiply
    287,089.94x = 430,345.42 × 180,550.01
  4. Step 4: Simplify right side
    287,089.94x = 77,698,870,508.94
  5. Step 5: Solve for x
    x = 77,698,870,508.94/287,089.94
  6. Step 6: Final answer
    x = 270,642.96

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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.