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Finding the Fourth Proportional to 520,031.25, 717,714.38 and 299,263.98

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Solution

The fourth proportional to 520,031.25, 717,714.38 and 299,263.98 is: 413,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,031.25 : 717,714.38 = 299,263.98 : x
  2. Step 2: Convert to fraction form
    520,031.25/717,714.38 = 299,263.98/x
  3. Step 3: Cross multiply
    520,031.25x = 717,714.38 × 299,263.98
  4. Step 4: Simplify right side
    520,031.25x = 214,786,060,365.71
  5. Step 5: Solve for x
    x = 214,786,060,365.71/520,031.25
  6. Step 6: Final answer
    x = 413,025.29

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1.5x scale

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.