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Finding the Fourth Proportional to 280,271.54, 386,787.34 and 157,806.10

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Solution

The fourth proportional to 280,271.54, 386,787.34 and 157,806.10 is: 217,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,271.54 : 386,787.34 = 157,806.10 : x
  2. Step 2: Convert to fraction form
    280,271.54/386,787.34 = 157,806.10/x
  3. Step 3: Cross multiply
    280,271.54x = 386,787.34 × 157,806.10
  4. Step 4: Simplify right side
    280,271.54x = 61,037,401,654.77
  5. Step 5: Solve for x
    x = 61,037,401,654.77/280,271.54
  6. Step 6: Final answer
    x = 217,779.52

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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.