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Finding the Fourth Proportional to 507,206.56, 699,966.15 and 280,852.06

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Solution

The fourth proportional to 507,206.56, 699,966.15 and 280,852.06 is: 387,587.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,206.56 : 699,966.15 = 280,852.06 : x
  2. Step 2: Convert to fraction form
    507,206.56/699,966.15 = 280,852.06/x
  3. Step 3: Cross multiply
    507,206.56x = 699,966.15 × 280,852.06
  4. Step 4: Simplify right side
    507,206.56x = 196,586,935,157.77
  5. Step 5: Solve for x
    x = 196,586,935,157.77/507,206.56
  6. Step 6: Final answer
    x = 387,587.52

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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.