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Finding the Fourth Proportional to 282,715.20, 390,146.40 and 155,390.40

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Solution

The fourth proportional to 282,715.20, 390,146.40 and 155,390.40 is: 214,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,715.20 : 390,146.40 = 155,390.40 : x
  2. Step 2: Convert to fraction form
    282,715.20/390,146.40 = 155,390.40/x
  3. Step 3: Cross multiply
    282,715.20x = 390,146.40 × 155,390.40
  4. Step 4: Simplify right side
    282,715.20x = 60,625,005,154.56
  5. Step 5: Solve for x
    x = 60,625,005,154.56/282,715.20
  6. Step 6: Final answer
    x = 214,438.44

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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.