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Finding the Fourth Proportional to 282,798.50, 390,264.57 and 155,475

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Solution

The fourth proportional to 282,798.50, 390,264.57 and 155,475 is: 214,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,798.50 : 390,264.57 = 155,475 : x
  2. Step 2: Convert to fraction form
    282,798.50/390,264.57 = 155,475/x
  3. Step 3: Cross multiply
    282,798.50x = 390,264.57 × 155,475
  4. Step 4: Simplify right side
    282,798.50x = 60,676,384,020.75
  5. Step 5: Solve for x
    x = 60,676,384,020.75/282,798.50
  6. Step 6: Final answer
    x = 214,556.96

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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.