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Finding the Fourth Proportional to 513,075.44, 708,031.86 and 286,764.68

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Solution

The fourth proportional to 513,075.44, 708,031.86 and 286,764.68 is: 395,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,075.44 : 708,031.86 = 286,764.68 : x
  2. Step 2: Convert to fraction form
    513,075.44/708,031.86 = 286,764.68/x
  3. Step 3: Cross multiply
    513,075.44x = 708,031.86 × 286,764.68
  4. Step 4: Simplify right side
    513,075.44x = 203,038,529,762.71
  5. Step 5: Solve for x
    x = 203,038,529,762.71/513,075.44
  6. Step 6: Final answer
    x = 395,728.41

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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.