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Finding the Fourth Proportional to 585,145.18, 877,995.33 and 405,506.89

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Solution

The fourth proportional to 585,145.18, 877,995.33 and 405,506.89 is: 608,452.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,145.18 : 877,995.33 = 405,506.89 : x
  2. Step 2: Convert to fraction form
    585,145.18/877,995.33 = 405,506.89/x
  3. Step 3: Cross multiply
    585,145.18x = 877,995.33 × 405,506.89
  4. Step 4: Simplify right side
    585,145.18x = 356,033,155,702.82
  5. Step 5: Solve for x
    x = 356,033,155,702.82/585,145.18
  6. Step 6: Final answer
    x = 608,452.68

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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.