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Finding the Fourth Proportional to 553,514.40, 830,417.40 and 198,491.40

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Solution

The fourth proportional to 553,514.40, 830,417.40 and 198,491.40 is: 297,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,514.40 : 830,417.40 = 198,491.40 : x
  2. Step 2: Convert to fraction form
    553,514.40/830,417.40 = 198,491.40/x
  3. Step 3: Cross multiply
    553,514.40x = 830,417.40 × 198,491.40
  4. Step 4: Simplify right side
    553,514.40x = 164,830,712,310.36
  5. Step 5: Solve for x
    x = 164,830,712,310.36/553,514.40
  6. Step 6: Final answer
    x = 297,789.38

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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.