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Finding the Fourth Proportional to 472,425.30, 708,637.95 and 446,837.40

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Solution

The fourth proportional to 472,425.30, 708,637.95 and 446,837.40 is: 670,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,425.30 : 708,637.95 = 446,837.40 : x
  2. Step 2: Convert to fraction form
    472,425.30/708,637.95 = 446,837.40/x
  3. Step 3: Cross multiply
    472,425.30x = 708,637.95 × 446,837.40
  4. Step 4: Simplify right side
    472,425.30x = 316,645,939,119.33
  5. Step 5: Solve for x
    x = 316,645,939,119.33/472,425.30
  6. Step 6: Final answer
    x = 670,256.10

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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.