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Finding the Fourth Proportional to 417,031.48, 575,834.70 and 385,188.76

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Solution

The fourth proportional to 417,031.48, 575,834.70 and 385,188.76 is: 531,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,031.48 : 575,834.70 = 385,188.76 : x
  2. Step 2: Convert to fraction form
    417,031.48/575,834.70 = 385,188.76/x
  3. Step 3: Cross multiply
    417,031.48x = 575,834.70 × 385,188.76
  4. Step 4: Simplify right side
    417,031.48x = 221,805,054,057.97
  5. Step 5: Solve for x
    x = 221,805,054,057.97/417,031.48
  6. Step 6: Final answer
    x = 531,866.45

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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.