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Finding the Fourth Proportional to 507,454.51, 700,278.06 and 278,016.34

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Solution

The fourth proportional to 507,454.51, 700,278.06 and 278,016.34 is: 383,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,454.51 : 700,278.06 = 278,016.34 : x
  2. Step 2: Convert to fraction form
    507,454.51/700,278.06 = 278,016.34/x
  3. Step 3: Cross multiply
    507,454.51x = 700,278.06 × 278,016.34
  4. Step 4: Simplify right side
    507,454.51x = 194,688,743,223.50
  5. Step 5: Solve for x
    x = 194,688,743,223.50/507,454.51
  6. Step 6: Final answer
    x = 383,657.53

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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.