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Finding the Fourth Proportional to 307,220.60, 460,830.90 and 282,337.40

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Solution

The fourth proportional to 307,220.60, 460,830.90 and 282,337.40 is: 423,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,220.60 : 460,830.90 = 282,337.40 : x
  2. Step 2: Convert to fraction form
    307,220.60/460,830.90 = 282,337.40/x
  3. Step 3: Cross multiply
    307,220.60x = 460,830.90 × 282,337.40
  4. Step 4: Simplify right side
    307,220.60x = 130,109,798,145.66
  5. Step 5: Solve for x
    x = 130,109,798,145.66/307,220.60
  6. Step 6: Final answer
    x = 423,506.10

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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.