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Finding the Fourth Proportional to 314,845.34, 472,128.95 and 90,154.71

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Solution

The fourth proportional to 314,845.34, 472,128.95 and 90,154.71 is: 135,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,845.34 : 472,128.95 = 90,154.71 : x
  2. Step 2: Convert to fraction form
    314,845.34/472,128.95 = 90,154.71/x
  3. Step 3: Cross multiply
    314,845.34x = 472,128.95 × 90,154.71
  4. Step 4: Simplify right side
    314,845.34x = 42,564,648,795.24
  5. Step 5: Solve for x
    x = 42,564,648,795.24/314,845.34
  6. Step 6: Final answer
    x = 135,192.25

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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.