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Finding the Fourth Proportional to 299,870.28, 414,130.86 and 259,389.72

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Solution

The fourth proportional to 299,870.28, 414,130.86 and 259,389.72 is: 358,225.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,870.28 : 414,130.86 = 259,389.72 : x
  2. Step 2: Convert to fraction form
    299,870.28/414,130.86 = 259,389.72/x
  3. Step 3: Cross multiply
    299,870.28x = 414,130.86 × 259,389.72
  4. Step 4: Simplify right side
    299,870.28x = 107,421,287,818.76
  5. Step 5: Solve for x
    x = 107,421,287,818.76/299,870.28
  6. Step 6: Final answer
    x = 358,225.86

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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.