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Finding the Fourth Proportional to 459,598,487.58, 685,349,978.94 and 455,453,247.78

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Solution

The fourth proportional to 459,598,487.58, 685,349,978.94 and 455,453,247.78 is: 679,168,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,598,487.58 : 685,349,978.94 = 455,453,247.78 : x
  2. Step 2: Convert to fraction form
    459,598,487.58/685,349,978.94 = 455,453,247.78/x
  3. Step 3: Cross multiply
    459,598,487.58x = 685,349,978.94 × 455,453,247.78
  4. Step 4: Simplify right side
    459,598,487.58x = 312,144,873,774,177,600
  5. Step 5: Solve for x
    x = 312,144,873,774,177,600/459,598,487.58
  6. Step 6: Final answer
    x = 679,168,626.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.