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Finding the Fourth Proportional to 506,511.64, 699,124.26 and 315,412.12

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Solution

The fourth proportional to 506,511.64, 699,124.26 and 315,412.12 is: 435,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,511.64 : 699,124.26 = 315,412.12 : x
  2. Step 2: Convert to fraction form
    506,511.64/699,124.26 = 315,412.12/x
  3. Step 3: Cross multiply
    506,511.64x = 699,124.26 × 315,412.12
  4. Step 4: Simplify right side
    506,511.64x = 220,512,264,990.03
  5. Step 5: Solve for x
    x = 220,512,264,990.03/506,511.64
  6. Step 6: Final answer
    x = 435,354.78

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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.