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Finding the Fourth Proportional to 417,031.76, 575,452.32 and 296,128.94

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Solution

The fourth proportional to 417,031.76, 575,452.32 and 296,128.94 is: 408,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,031.76 : 575,452.32 = 296,128.94 : x
  2. Step 2: Convert to fraction form
    417,031.76/575,452.32 = 296,128.94/x
  3. Step 3: Cross multiply
    417,031.76x = 575,452.32 × 296,128.94
  4. Step 4: Simplify right side
    417,031.76x = 170,408,081,554.40
  5. Step 5: Solve for x
    x = 170,408,081,554.40/417,031.76
  6. Step 6: Final answer
    x = 408,621.35

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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.