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Finding the Fourth Proportional to 510,402.61, 765,405.19 and 210,931.57

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Solution

The fourth proportional to 510,402.61, 765,405.19 and 210,931.57 is: 316,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,402.61 : 765,405.19 = 210,931.57 : x
  2. Step 2: Convert to fraction form
    510,402.61/765,405.19 = 210,931.57/x
  3. Step 3: Cross multiply
    510,402.61x = 765,405.19 × 210,931.57
  4. Step 4: Simplify right side
    510,402.61x = 161,448,118,412.85
  5. Step 5: Solve for x
    x = 161,448,118,412.85/510,402.61
  6. Step 6: Final answer
    x = 316,315.23

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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.