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Finding the Fourth Proportional to 284,645.80, 392,814.12 and 155,587.96

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Solution

The fourth proportional to 284,645.80, 392,814.12 and 155,587.96 is: 214,712.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,645.80 : 392,814.12 = 155,587.96 : x
  2. Step 2: Convert to fraction form
    284,645.80/392,814.12 = 155,587.96/x
  3. Step 3: Cross multiply
    284,645.80x = 392,814.12 × 155,587.96
  4. Step 4: Simplify right side
    284,645.80x = 61,117,147,590.00
  5. Step 5: Solve for x
    x = 61,117,147,590.00/284,645.80
  6. Step 6: Final answer
    x = 214,712.98

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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.