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Finding the Fourth Proportional to 478,377, 660,110.76 and 294,586.38

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Solution

The fourth proportional to 478,377, 660,110.76 and 294,586.38 is: 406,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,377 : 660,110.76 = 294,586.38 : x
  2. Step 2: Convert to fraction form
    478,377/660,110.76 = 294,586.38/x
  3. Step 3: Cross multiply
    478,377x = 660,110.76 × 294,586.38
  4. Step 4: Simplify right side
    478,377x = 194,459,639,187.45
  5. Step 5: Solve for x
    x = 194,459,639,187.45/478,377
  6. Step 6: Final answer
    x = 406,498.72

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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.