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Finding the Fourth Proportional to 371,069.84, 512,069.16 and 209,918.48

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Solution

The fourth proportional to 371,069.84, 512,069.16 and 209,918.48 is: 289,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,069.84 : 512,069.16 = 209,918.48 : x
  2. Step 2: Convert to fraction form
    371,069.84/512,069.16 = 209,918.48/x
  3. Step 3: Cross multiply
    371,069.84x = 512,069.16 × 209,918.48
  4. Step 4: Simplify right side
    371,069.84x = 107,492,779,722.08
  5. Step 5: Solve for x
    x = 107,492,779,722.08/371,069.84
  6. Step 6: Final answer
    x = 289,683.42

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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.