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Finding the Fourth Proportional to 540,802.25, 746,224.20 and 311,315.19

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Solution

The fourth proportional to 540,802.25, 746,224.20 and 311,315.19 is: 429,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,802.25 : 746,224.20 = 311,315.19 : x
  2. Step 2: Convert to fraction form
    540,802.25/746,224.20 = 311,315.19/x
  3. Step 3: Cross multiply
    540,802.25x = 746,224.20 × 311,315.19
  4. Step 4: Simplify right side
    540,802.25x = 232,310,931,249.45
  5. Step 5: Solve for x
    x = 232,310,931,249.45/540,802.25
  6. Step 6: Final answer
    x = 429,567.24

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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.