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Finding the Fourth Proportional to 476,520.71, 714,781.32 and 299,152.28

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Solution

The fourth proportional to 476,520.71, 714,781.32 and 299,152.28 is: 448,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,520.71 : 714,781.32 = 299,152.28 : x
  2. Step 2: Convert to fraction form
    476,520.71/714,781.32 = 299,152.28/x
  3. Step 3: Cross multiply
    476,520.71x = 714,781.32 × 299,152.28
  4. Step 4: Simplify right side
    476,520.71x = 213,828,461,579.41
  5. Step 5: Solve for x
    x = 213,828,461,579.41/476,520.71
  6. Step 6: Final answer
    x = 448,728.58

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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.