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Finding the Fourth Proportional to 510,553.32, 766,302.87 and 258,011.52

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Solution

The fourth proportional to 510,553.32, 766,302.87 and 258,011.52 is: 387,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,553.32 : 766,302.87 = 258,011.52 : x
  2. Step 2: Convert to fraction form
    510,553.32/766,302.87 = 258,011.52/x
  3. Step 3: Cross multiply
    510,553.32x = 766,302.87 × 258,011.52
  4. Step 4: Simplify right side
    510,553.32x = 197,714,968,269.06
  5. Step 5: Solve for x
    x = 197,714,968,269.06/510,553.32
  6. Step 6: Final answer
    x = 387,256.26

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1.5x scale

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.