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Finding the Fourth Proportional to 477,954.96, 717,036.48 and 145,522.32

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Solution

The fourth proportional to 477,954.96, 717,036.48 and 145,522.32 is: 218,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,954.96 : 717,036.48 = 145,522.32 : x
  2. Step 2: Convert to fraction form
    477,954.96/717,036.48 = 145,522.32/x
  3. Step 3: Cross multiply
    477,954.96x = 717,036.48 × 145,522.32
  4. Step 4: Simplify right side
    477,954.96x = 104,344,812,094.23
  5. Step 5: Solve for x
    x = 104,344,812,094.23/477,954.96
  6. Step 6: Final answer
    x = 218,315.16

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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.