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Finding the Fourth Proportional to 478,378, 660,112.14 and 294,587.38

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Solution

The fourth proportional to 478,378, 660,112.14 and 294,587.38 is: 406,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,378 : 660,112.14 = 294,587.38 : x
  2. Step 2: Convert to fraction form
    478,378/660,112.14 = 294,587.38/x
  3. Step 3: Cross multiply
    478,378x = 660,112.14 × 294,587.38
  4. Step 4: Simplify right side
    478,378x = 194,460,705,828.79
  5. Step 5: Solve for x
    x = 194,460,705,828.79/478,378
  6. Step 6: Final answer
    x = 406,500.10

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1.5x scale

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.