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Finding the Fourth Proportional to 715,802.58, 987,809.58 and 409,883.58

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Solution

The fourth proportional to 715,802.58, 987,809.58 and 409,883.58 is: 565,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,802.58 : 987,809.58 = 409,883.58 : x
  2. Step 2: Convert to fraction form
    715,802.58/987,809.58 = 409,883.58/x
  3. Step 3: Cross multiply
    715,802.58x = 987,809.58 × 409,883.58
  4. Step 4: Simplify right side
    715,802.58x = 404,886,927,008.70
  5. Step 5: Solve for x
    x = 404,886,927,008.70/715,802.58
  6. Step 6: Final answer
    x = 565,640.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.