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Finding the Fourth Proportional to 217,000.98, 299,261.52 and 148,897.80

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Solution

The fourth proportional to 217,000.98, 299,261.52 and 148,897.80 is: 205,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,000.98 : 299,261.52 = 148,897.80 : x
  2. Step 2: Convert to fraction form
    217,000.98/299,261.52 = 148,897.80/x
  3. Step 3: Cross multiply
    217,000.98x = 299,261.52 × 148,897.80
  4. Step 4: Simplify right side
    217,000.98x = 44,559,381,952.66
  5. Step 5: Solve for x
    x = 44,559,381,952.66/217,000.98
  6. Step 6: Final answer
    x = 205,341.85

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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.