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Finding the Fourth Proportional to 875,115, 1,312,672.50 and 284,139

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Solution

The fourth proportional to 875,115, 1,312,672.50 and 284,139 is: 426,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,115 : 1,312,672.50 = 284,139 : x
  2. Step 2: Convert to fraction form
    875,115/1,312,672.50 = 284,139/x
  3. Step 3: Cross multiply
    875,115x = 1,312,672.50 × 284,139
  4. Step 4: Simplify right side
    875,115x = 372,981,451,477.50
  5. Step 5: Solve for x
    x = 372,981,451,477.50/875,115
  6. Step 6: Final answer
    x = 426,208.50

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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.