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Finding the Fourth Proportional to 510,971.84, 766,547.82 and 211,284.50

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Solution

The fourth proportional to 510,971.84, 766,547.82 and 211,284.50 is: 316,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,971.84 : 766,547.82 = 211,284.50 : x
  2. Step 2: Convert to fraction form
    510,971.84/766,547.82 = 211,284.50/x
  3. Step 3: Cross multiply
    510,971.84x = 766,547.82 × 211,284.50
  4. Step 4: Simplify right side
    510,971.84x = 161,959,672,874.79
  5. Step 5: Solve for x
    x = 161,959,672,874.79/510,971.84
  6. Step 6: Final answer
    x = 316,963.99

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1.5x scale

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.