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Finding the Fourth Proportional to 284,953.20, 427,429.80 and 282,984.90

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Solution

The fourth proportional to 284,953.20, 427,429.80 and 282,984.90 is: 424,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,953.20 : 427,429.80 = 282,984.90 : x
  2. Step 2: Convert to fraction form
    284,953.20/427,429.80 = 282,984.90/x
  3. Step 3: Cross multiply
    284,953.20x = 427,429.80 × 282,984.90
  4. Step 4: Simplify right side
    284,953.20x = 120,956,179,210.02
  5. Step 5: Solve for x
    x = 120,956,179,210.02/284,953.20
  6. Step 6: Final answer
    x = 424,477.35

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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.