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Finding the Fourth Proportional to 473,522.64, 713,480.74 and 391,128.78

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Solution

The fourth proportional to 473,522.64, 713,480.74 and 391,128.78 is: 589,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,522.64 : 713,480.74 = 391,128.78 : x
  2. Step 2: Convert to fraction form
    473,522.64/713,480.74 = 391,128.78/x
  3. Step 3: Cross multiply
    473,522.64x = 713,480.74 × 391,128.78
  4. Step 4: Simplify right side
    473,522.64x = 279,062,851,389.70
  5. Step 5: Solve for x
    x = 279,062,851,389.70/473,522.64
  6. Step 6: Final answer
    x = 589,333.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.