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Finding the Fourth Proportional to 360,210.84, 540,316.26 and 138,543

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Solution

The fourth proportional to 360,210.84, 540,316.26 and 138,543 is: 207,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,210.84 : 540,316.26 = 138,543 : x
  2. Step 2: Convert to fraction form
    360,210.84/540,316.26 = 138,543/x
  3. Step 3: Cross multiply
    360,210.84x = 540,316.26 × 138,543
  4. Step 4: Simplify right side
    360,210.84x = 74,857,035,609.18
  5. Step 5: Solve for x
    x = 74,857,035,609.18/360,210.84
  6. Step 6: Final answer
    x = 207,814.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.