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Finding the Fourth Proportional to 278,547, 384,395.25 and 151,222.59

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Solution

The fourth proportional to 278,547, 384,395.25 and 151,222.59 is: 208,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,547 : 384,395.25 = 151,222.59 : x
  2. Step 2: Convert to fraction form
    278,547/384,395.25 = 151,222.59/x
  3. Step 3: Cross multiply
    278,547x = 384,395.25 × 151,222.59
  4. Step 4: Simplify right side
    278,547x = 58,129,245,288.70
  5. Step 5: Solve for x
    x = 58,129,245,288.70/278,547
  6. Step 6: Final answer
    x = 208,687.39

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1.5x scale

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.