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Finding the Fourth Proportional to 302,685.50, 417,706 and 175,434.90

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Solution

The fourth proportional to 302,685.50, 417,706 and 175,434.90 is: 242,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,685.50 : 417,706 = 175,434.90 : x
  2. Step 2: Convert to fraction form
    302,685.50/417,706 = 175,434.90/x
  3. Step 3: Cross multiply
    302,685.50x = 417,706 × 175,434.90
  4. Step 4: Simplify right side
    302,685.50x = 73,280,210,339.40
  5. Step 5: Solve for x
    x = 73,280,210,339.40/302,685.50
  6. Step 6: Final answer
    x = 242,100.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.