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Finding the Fourth Proportional to 514,421.69, 709,939.31 and 310,522.19

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Solution

The fourth proportional to 514,421.69, 709,939.31 and 310,522.19 is: 428,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,421.69 : 709,939.31 = 310,522.19 : x
  2. Step 2: Convert to fraction form
    514,421.69/709,939.31 = 310,522.19/x
  3. Step 3: Cross multiply
    514,421.69x = 709,939.31 × 310,522.19
  4. Step 4: Simplify right side
    514,421.69x = 220,451,904,205.98
  5. Step 5: Solve for x
    x = 220,451,904,205.98/514,421.69
  6. Step 6: Final answer
    x = 428,543.18

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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.