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Finding the Fourth Proportional to 411,032.80, 612,214.97 and 392,590.66

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Solution

The fourth proportional to 411,032.80, 612,214.97 and 392,590.66 is: 584,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,032.80 : 612,214.97 = 392,590.66 : x
  2. Step 2: Convert to fraction form
    411,032.80/612,214.97 = 392,590.66/x
  3. Step 3: Cross multiply
    411,032.80x = 612,214.97 × 392,590.66
  4. Step 4: Simplify right side
    411,032.80x = 240,349,877,230.65
  5. Step 5: Solve for x
    x = 240,349,877,230.65/411,032.80
  6. Step 6: Final answer
    x = 584,746.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.