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Finding the Fourth Proportional to 520,057.68, 717,465.88 and 316,075.74

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Solution

The fourth proportional to 520,057.68, 717,465.88 and 316,075.74 is: 436,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,057.68 : 717,465.88 = 316,075.74 : x
  2. Step 2: Convert to fraction form
    520,057.68/717,465.88 = 316,075.74/x
  3. Step 3: Cross multiply
    520,057.68x = 717,465.88 × 316,075.74
  4. Step 4: Simplify right side
    520,057.68x = 226,773,556,650.35
  5. Step 5: Solve for x
    x = 226,773,556,650.35/520,057.68
  6. Step 6: Final answer
    x = 436,054.63

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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.