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Finding the Fourth Proportional to 476,521.71, 714,782.82 and 299,153.28

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Solution

The fourth proportional to 476,521.71, 714,782.82 and 299,153.28 is: 448,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,521.71 : 714,782.82 = 299,153.28 : x
  2. Step 2: Convert to fraction form
    476,521.71/714,782.82 = 299,153.28/x
  3. Step 3: Cross multiply
    476,521.71x = 714,782.82 × 299,153.28
  4. Step 4: Simplify right side
    476,521.71x = 213,829,625,090.65
  5. Step 5: Solve for x
    x = 213,829,625,090.65/476,521.71
  6. Step 6: Final answer
    x = 448,730.08

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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.