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Finding the Fourth Proportional to 475,315.49, 712,972.94 and 191,006.10

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Solution

The fourth proportional to 475,315.49, 712,972.94 and 191,006.10 is: 286,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,315.49 : 712,972.94 = 191,006.10 : x
  2. Step 2: Convert to fraction form
    475,315.49/712,972.94 = 191,006.10/x
  3. Step 3: Cross multiply
    475,315.49x = 712,972.94 × 191,006.10
  4. Step 4: Simplify right side
    475,315.49x = 136,182,179,719.90
  5. Step 5: Solve for x
    x = 136,182,179,719.90/475,315.49
  6. Step 6: Final answer
    x = 286,509.03

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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.