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Finding the Fourth Proportional to 512,004.80, 766,970.40 and 354,411.20

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Solution

The fourth proportional to 512,004.80, 766,970.40 and 354,411.20 is: 530,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,004.80 : 766,970.40 = 354,411.20 : x
  2. Step 2: Convert to fraction form
    512,004.80/766,970.40 = 354,411.20/x
  3. Step 3: Cross multiply
    512,004.80x = 766,970.40 × 354,411.20
  4. Step 4: Simplify right side
    512,004.80x = 271,822,899,828.48
  5. Step 5: Solve for x
    x = 271,822,899,828.48/512,004.80
  6. Step 6: Final answer
    x = 530,899.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.