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Finding the Fourth Proportional to 380,816, 525,526.08 and 211,061.06

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Solution

The fourth proportional to 380,816, 525,526.08 and 211,061.06 is: 291,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,816 : 525,526.08 = 211,061.06 : x
  2. Step 2: Convert to fraction form
    380,816/525,526.08 = 211,061.06/x
  3. Step 3: Cross multiply
    380,816x = 525,526.08 × 211,061.06
  4. Step 4: Simplify right side
    380,816x = 110,918,091,502.45
  5. Step 5: Solve for x
    x = 110,918,091,502.45/380,816
  6. Step 6: Final answer
    x = 291,264.26

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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.