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Finding the Fourth Proportional to 409,451.76, 565,165.08 and 258,649.20

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Solution

The fourth proportional to 409,451.76, 565,165.08 and 258,649.20 is: 357,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,451.76 : 565,165.08 = 258,649.20 : x
  2. Step 2: Convert to fraction form
    409,451.76/565,165.08 = 258,649.20/x
  3. Step 3: Cross multiply
    409,451.76x = 565,165.08 × 258,649.20
  4. Step 4: Simplify right side
    409,451.76x = 146,179,495,809.94
  5. Step 5: Solve for x
    x = 146,179,495,809.94/409,451.76
  6. Step 6: Final answer
    x = 357,012.74

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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.