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Finding the Fourth Proportional to 420,315.99, 579,358.47 and 284,300.33

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Solution

The fourth proportional to 420,315.99, 579,358.47 and 284,300.33 is: 391,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,315.99 : 579,358.47 = 284,300.33 : x
  2. Step 2: Convert to fraction form
    420,315.99/579,358.47 = 284,300.33/x
  3. Step 3: Cross multiply
    420,315.99x = 579,358.47 × 284,300.33
  4. Step 4: Simplify right side
    420,315.99x = 164,711,805,637.52
  5. Step 5: Solve for x
    x = 164,711,805,637.52/420,315.99
  6. Step 6: Final answer
    x = 391,876.14

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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.