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Finding the Fourth Proportional to 284,851.60, 427,315.80 and 97,920.40

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Solution

The fourth proportional to 284,851.60, 427,315.80 and 97,920.40 is: 146,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,851.60 : 427,315.80 = 97,920.40 : x
  2. Step 2: Convert to fraction form
    284,851.60/427,315.80 = 97,920.40/x
  3. Step 3: Cross multiply
    284,851.60x = 427,315.80 × 97,920.40
  4. Step 4: Simplify right side
    284,851.60x = 41,842,934,062.32
  5. Step 5: Solve for x
    x = 41,842,934,062.32/284,851.60
  6. Step 6: Final answer
    x = 146,893.80

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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.