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Finding the Fourth Proportional to 617,514.40, 926,271.60 and 417,930.40

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Solution

The fourth proportional to 617,514.40, 926,271.60 and 417,930.40 is: 626,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,514.40 : 926,271.60 = 417,930.40 : x
  2. Step 2: Convert to fraction form
    617,514.40/926,271.60 = 417,930.40/x
  3. Step 3: Cross multiply
    617,514.40x = 926,271.60 × 417,930.40
  4. Step 4: Simplify right side
    617,514.40x = 387,117,060,296.64
  5. Step 5: Solve for x
    x = 387,117,060,296.64/617,514.40
  6. Step 6: Final answer
    x = 626,895.60

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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.