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Finding the Fourth Proportional to 282,753.76, 390,200.60 and 155,430.12

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Solution

The fourth proportional to 282,753.76, 390,200.60 and 155,430.12 is: 214,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,753.76 : 390,200.60 = 155,430.12 : x
  2. Step 2: Convert to fraction form
    282,753.76/390,200.60 = 155,430.12/x
  3. Step 3: Cross multiply
    282,753.76x = 390,200.60 × 155,430.12
  4. Step 4: Simplify right side
    282,753.76x = 60,648,926,082.07
  5. Step 5: Solve for x
    x = 60,648,926,082.07/282,753.76
  6. Step 6: Final answer
    x = 214,493.79

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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.