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Finding the Fourth Proportional to 653,521.20, 980,051.40 and 232,810.80

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Solution

The fourth proportional to 653,521.20, 980,051.40 and 232,810.80 is: 349,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,521.20 : 980,051.40 = 232,810.80 : x
  2. Step 2: Convert to fraction form
    653,521.20/980,051.40 = 232,810.80/x
  3. Step 3: Cross multiply
    653,521.20x = 980,051.40 × 232,810.80
  4. Step 4: Simplify right side
    653,521.20x = 228,166,550,475.12
  5. Step 5: Solve for x
    x = 228,166,550,475.12/653,521.20
  6. Step 6: Final answer
    x = 349,134.12

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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.