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Finding the Fourth Proportional to 282,924.84, 390,443.67 and 155,603.78

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Solution

The fourth proportional to 282,924.84, 390,443.67 and 155,603.78 is: 214,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,924.84 : 390,443.67 = 155,603.78 : x
  2. Step 2: Convert to fraction form
    282,924.84/390,443.67 = 155,603.78/x
  3. Step 3: Cross multiply
    282,924.84x = 390,443.67 × 155,603.78
  4. Step 4: Simplify right side
    282,924.84x = 60,754,508,976.85
  5. Step 5: Solve for x
    x = 60,754,508,976.85/282,924.84
  6. Step 6: Final answer
    x = 214,737.27

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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.