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Finding the Fourth Proportional to 460,009, 690,013.50 and 127,585

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Solution

The fourth proportional to 460,009, 690,013.50 and 127,585 is: 191,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,009 : 690,013.50 = 127,585 : x
  2. Step 2: Convert to fraction form
    460,009/690,013.50 = 127,585/x
  3. Step 3: Cross multiply
    460,009x = 690,013.50 × 127,585
  4. Step 4: Simplify right side
    460,009x = 88,035,372,397.50
  5. Step 5: Solve for x
    x = 88,035,372,397.50/460,009
  6. Step 6: Final answer
    x = 191,377.50

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Similar ratio
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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.