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Finding the Fourth Proportional to 514,818.68, 710,450 and 313,614.68

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Solution

The fourth proportional to 514,818.68, 710,450 and 313,614.68 is: 432,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,818.68 : 710,450 = 313,614.68 : x
  2. Step 2: Convert to fraction form
    514,818.68/710,450 = 313,614.68/x
  3. Step 3: Cross multiply
    514,818.68x = 710,450 × 313,614.68
  4. Step 4: Simplify right side
    514,818.68x = 222,807,549,406
  5. Step 5: Solve for x
    x = 222,807,549,406/514,818.68
  6. Step 6: Final answer
    x = 432,788.39

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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.