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Finding the Fourth Proportional to 518,483, 715,506.54 and 280,019

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Solution

The fourth proportional to 518,483, 715,506.54 and 280,019 is: 386,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,483 : 715,506.54 = 280,019 : x
  2. Step 2: Convert to fraction form
    518,483/715,506.54 = 280,019/x
  3. Step 3: Cross multiply
    518,483x = 715,506.54 × 280,019
  4. Step 4: Simplify right side
    518,483x = 200,355,425,824.26
  5. Step 5: Solve for x
    x = 200,355,425,824.26/518,483
  6. Step 6: Final answer
    x = 386,426.22

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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.