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Finding the Fourth Proportional to 282,783.15, 390,230.84 and 155,457.84

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Solution

The fourth proportional to 282,783.15, 390,230.84 and 155,457.84 is: 214,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,783.15 : 390,230.84 = 155,457.84 : x
  2. Step 2: Convert to fraction form
    282,783.15/390,230.84 = 155,457.84/x
  3. Step 3: Cross multiply
    282,783.15x = 390,230.84 × 155,457.84
  4. Step 4: Simplify right side
    282,783.15x = 60,664,442,710.50
  5. Step 5: Solve for x
    x = 60,664,442,710.50/282,783.15
  6. Step 6: Final answer
    x = 214,526.37

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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.