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Finding the Fourth Proportional to 282,800.32, 390,254.48 and 155,474.96

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Solution

The fourth proportional to 282,800.32, 390,254.48 and 155,474.96 is: 214,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,800.32 : 390,254.48 = 155,474.96 : x
  2. Step 2: Convert to fraction form
    282,800.32/390,254.48 = 155,474.96/x
  3. Step 3: Cross multiply
    282,800.32x = 390,254.48 × 155,474.96
  4. Step 4: Simplify right side
    282,800.32x = 60,674,799,667.82
  5. Step 5: Solve for x
    x = 60,674,799,667.82/282,800.32
  6. Step 6: Final answer
    x = 214,549.97

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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.