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Finding the Fourth Proportional to 285,523.80, 428,285.70 and 152,813.40

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Solution

The fourth proportional to 285,523.80, 428,285.70 and 152,813.40 is: 229,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,523.80 : 428,285.70 = 152,813.40 : x
  2. Step 2: Convert to fraction form
    285,523.80/428,285.70 = 152,813.40/x
  3. Step 3: Cross multiply
    285,523.80x = 428,285.70 × 152,813.40
  4. Step 4: Simplify right side
    285,523.80x = 65,447,793,988.38
  5. Step 5: Solve for x
    x = 65,447,793,988.38/285,523.80
  6. Step 6: Final answer
    x = 229,220.10

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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.