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Finding the Fourth Proportional to 287,855.54, 430,947 and 167,545.26

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Solution

The fourth proportional to 287,855.54, 430,947 and 167,545.26 is: 250,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,855.54 : 430,947 = 167,545.26 : x
  2. Step 2: Convert to fraction form
    287,855.54/430,947 = 167,545.26/x
  3. Step 3: Cross multiply
    287,855.54x = 430,947 × 167,545.26
  4. Step 4: Simplify right side
    287,855.54x = 72,203,127,161.22
  5. Step 5: Solve for x
    x = 72,203,127,161.22/287,855.54
  6. Step 6: Final answer
    x = 250,831.12

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1.5x scale

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.