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Finding the Fourth Proportional to 280,273.54, 386,790.10 and 157,808.10

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Solution

The fourth proportional to 280,273.54, 386,790.10 and 157,808.10 is: 217,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,273.54 : 386,790.10 = 157,808.10 : x
  2. Step 2: Convert to fraction form
    280,273.54/386,790.10 = 157,808.10/x
  3. Step 3: Cross multiply
    280,273.54x = 386,790.10 × 157,808.10
  4. Step 4: Simplify right side
    280,273.54x = 61,038,610,779.81
  5. Step 5: Solve for x
    x = 61,038,610,779.81/280,273.54
  6. Step 6: Final answer
    x = 217,782.28

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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.