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Finding the Fourth Proportional to 213,430.72, 320,146.02 and 55,658.74

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Solution

The fourth proportional to 213,430.72, 320,146.02 and 55,658.74 is: 83,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,430.72 : 320,146.02 = 55,658.74 : x
  2. Step 2: Convert to fraction form
    213,430.72/320,146.02 = 55,658.74/x
  3. Step 3: Cross multiply
    213,430.72x = 320,146.02 × 55,658.74
  4. Step 4: Simplify right side
    213,430.72x = 17,818,924,089.21
  5. Step 5: Solve for x
    x = 17,818,924,089.21/213,430.72
  6. Step 6: Final answer
    x = 83,488.09

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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.