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Finding the Fourth Proportional to 497,030.80, 745,643.40 and 212,720.80

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Solution

The fourth proportional to 497,030.80, 745,643.40 and 212,720.80 is: 319,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,030.80 : 745,643.40 = 212,720.80 : x
  2. Step 2: Convert to fraction form
    497,030.80/745,643.40 = 212,720.80/x
  3. Step 3: Cross multiply
    497,030.80x = 745,643.40 × 212,720.80
  4. Step 4: Simplify right side
    497,030.80x = 158,613,860,562.72
  5. Step 5: Solve for x
    x = 158,613,860,562.72/497,030.80
  6. Step 6: Final answer
    x = 319,122.80

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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.