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Finding the Fourth Proportional to 507,878.52, 761,777.82 and 254,901.48

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Solution

The fourth proportional to 507,878.52, 761,777.82 and 254,901.48 is: 382,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,878.52 : 761,777.82 = 254,901.48 : x
  2. Step 2: Convert to fraction form
    507,878.52/761,777.82 = 254,901.48/x
  3. Step 3: Cross multiply
    507,878.52x = 761,777.82 × 254,901.48
  4. Step 4: Simplify right side
    507,878.52x = 194,178,293,749.17
  5. Step 5: Solve for x
    x = 194,178,293,749.17/507,878.52
  6. Step 6: Final answer
    x = 382,332.16

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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.