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Finding the Fourth Proportional to 507,264.12, 700,045.56 and 280,909.80

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Solution

The fourth proportional to 507,264.12, 700,045.56 and 280,909.80 is: 387,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,264.12 : 700,045.56 = 280,909.80 : x
  2. Step 2: Convert to fraction form
    507,264.12/700,045.56 = 280,909.80/x
  3. Step 3: Cross multiply
    507,264.12x = 700,045.56 × 280,909.80
  4. Step 4: Simplify right side
    507,264.12x = 196,649,658,250.49
  5. Step 5: Solve for x
    x = 196,649,658,250.49/507,264.12
  6. Step 6: Final answer
    x = 387,667.19

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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.