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Finding the Fourth Proportional to 319,088.70, 478,114.65 and 200,547.90

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Solution

The fourth proportional to 319,088.70, 478,114.65 and 200,547.90 is: 300,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,088.70 : 478,114.65 = 200,547.90 : x
  2. Step 2: Convert to fraction form
    319,088.70/478,114.65 = 200,547.90/x
  3. Step 3: Cross multiply
    319,088.70x = 478,114.65 × 200,547.90
  4. Step 4: Simplify right side
    319,088.70x = 95,884,889,016.74
  5. Step 5: Solve for x
    x = 95,884,889,016.74/319,088.70
  6. Step 6: Final answer
    x = 300,496.03

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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.