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Finding the Fourth Proportional to 299,031.68, 448,547.52 and 141,276

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Solution

The fourth proportional to 299,031.68, 448,547.52 and 141,276 is: 211,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,031.68 : 448,547.52 = 141,276 : x
  2. Step 2: Convert to fraction form
    299,031.68/448,547.52 = 141,276/x
  3. Step 3: Cross multiply
    299,031.68x = 448,547.52 × 141,276
  4. Step 4: Simplify right side
    299,031.68x = 63,368,999,435.52
  5. Step 5: Solve for x
    x = 63,368,999,435.52/299,031.68
  6. Step 6: Final answer
    x = 211,914.00

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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.