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Finding the Fourth Proportional to 507,364.25, 760,385.40 and 282,715.61

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Solution

The fourth proportional to 507,364.25, 760,385.40 and 282,715.61 is: 423,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,364.25 : 760,385.40 = 282,715.61 : x
  2. Step 2: Convert to fraction form
    507,364.25/760,385.40 = 282,715.61/x
  3. Step 3: Cross multiply
    507,364.25x = 760,385.40 × 282,715.61
  4. Step 4: Simplify right side
    507,364.25x = 214,972,822,196.09
  5. Step 5: Solve for x
    x = 214,972,822,196.09/507,364.25
  6. Step 6: Final answer
    x = 423,705.10

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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.