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Finding the Fourth Proportional to 464,390.64, 640,929.13 and 283,207.67

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Solution

The fourth proportional to 464,390.64, 640,929.13 and 283,207.67 is: 390,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,390.64 : 640,929.13 = 283,207.67 : x
  2. Step 2: Convert to fraction form
    464,390.64/640,929.13 = 283,207.67/x
  3. Step 3: Cross multiply
    464,390.64x = 640,929.13 × 283,207.67
  4. Step 4: Simplify right side
    464,390.64x = 181,516,045,542.43
  5. Step 5: Solve for x
    x = 181,516,045,542.43/464,390.64
  6. Step 6: Final answer
    x = 390,869.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.