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Finding the Fourth Proportional to 340,275.30, 510,412.94 and 103,618

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Solution

The fourth proportional to 340,275.30, 510,412.94 and 103,618 is: 155,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,275.30 : 510,412.94 = 103,618 : x
  2. Step 2: Convert to fraction form
    340,275.30/510,412.94 = 103,618/x
  3. Step 3: Cross multiply
    340,275.30x = 510,412.94 × 103,618
  4. Step 4: Simplify right side
    340,275.30x = 52,887,968,016.92
  5. Step 5: Solve for x
    x = 52,887,968,016.92/340,275.30
  6. Step 6: Final answer
    x = 155,427.00

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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.