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Finding the Fourth Proportional to 507,784.85, 761,972.51 and 400,512.50

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Solution

The fourth proportional to 507,784.85, 761,972.51 and 400,512.50 is: 601,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,784.85 : 761,972.51 = 400,512.50 : x
  2. Step 2: Convert to fraction form
    507,784.85/761,972.51 = 400,512.50/x
  3. Step 3: Cross multiply
    507,784.85x = 761,972.51 × 400,512.50
  4. Step 4: Simplify right side
    507,784.85x = 305,179,509,098.95
  5. Step 5: Solve for x
    x = 305,179,509,098.95/507,784.85
  6. Step 6: Final answer
    x = 601,001.61

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1.5x scale

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.