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Finding the Fourth Proportional to 489,031.70, 733,547.55 and 459,507.20

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Solution

The fourth proportional to 489,031.70, 733,547.55 and 459,507.20 is: 689,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,031.70 : 733,547.55 = 459,507.20 : x
  2. Step 2: Convert to fraction form
    489,031.70/733,547.55 = 459,507.20/x
  3. Step 3: Cross multiply
    489,031.70x = 733,547.55 × 459,507.20
  4. Step 4: Simplify right side
    489,031.70x = 337,070,380,767.36
  5. Step 5: Solve for x
    x = 337,070,380,767.36/489,031.70
  6. Step 6: Final answer
    x = 689,260.80

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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.