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Finding the Fourth Proportional to 314,828.60, 472,242.90 and 282,169.40

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Solution

The fourth proportional to 314,828.60, 472,242.90 and 282,169.40 is: 423,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,828.60 : 472,242.90 = 282,169.40 : x
  2. Step 2: Convert to fraction form
    314,828.60/472,242.90 = 282,169.40/x
  3. Step 3: Cross multiply
    314,828.60x = 472,242.90 × 282,169.40
  4. Step 4: Simplify right side
    314,828.60x = 133,252,495,747.26
  5. Step 5: Solve for x
    x = 133,252,495,747.26/314,828.60
  6. Step 6: Final answer
    x = 423,254.10

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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.