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Finding the Fourth Proportional to 370,987, 511,962.11 and 209,838.58

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Solution

The fourth proportional to 370,987, 511,962.11 and 209,838.58 is: 289,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,987 : 511,962.11 = 209,838.58 : x
  2. Step 2: Convert to fraction form
    370,987/511,962.11 = 209,838.58/x
  3. Step 3: Cross multiply
    370,987x = 511,962.11 × 209,838.58
  4. Step 4: Simplify right side
    370,987x = 107,429,402,176.20
  5. Step 5: Solve for x
    x = 107,429,402,176.20/370,987
  6. Step 6: Final answer
    x = 289,577.27

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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.