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Finding the Fourth Proportional to 354,012.90, 531,019.35 and 319,020.90

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Solution

The fourth proportional to 354,012.90, 531,019.35 and 319,020.90 is: 478,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,012.90 : 531,019.35 = 319,020.90 : x
  2. Step 2: Convert to fraction form
    354,012.90/531,019.35 = 319,020.90/x
  3. Step 3: Cross multiply
    354,012.90x = 531,019.35 × 319,020.90
  4. Step 4: Simplify right side
    354,012.90x = 169,406,270,954.42
  5. Step 5: Solve for x
    x = 169,406,270,954.42/354,012.90
  6. Step 6: Final answer
    x = 478,531.35

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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.