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Finding the Fourth Proportional to 478,047.84, 659,680.95 and 263,145.93

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Solution

The fourth proportional to 478,047.84, 659,680.95 and 263,145.93 is: 363,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,047.84 : 659,680.95 = 263,145.93 : x
  2. Step 2: Convert to fraction form
    478,047.84/659,680.95 = 263,145.93/x
  3. Step 3: Cross multiply
    478,047.84x = 659,680.95 × 263,145.93
  4. Step 4: Simplify right side
    478,047.84x = 173,592,357,091.03
  5. Step 5: Solve for x
    x = 173,592,357,091.03/478,047.84
  6. Step 6: Final answer
    x = 363,127.58

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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.