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Finding the Fourth Proportional to 472,784.90, 652,430.24 and 257,924.90

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Solution

The fourth proportional to 472,784.90, 652,430.24 and 257,924.90 is: 355,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,784.90 : 652,430.24 = 257,924.90 : x
  2. Step 2: Convert to fraction form
    472,784.90/652,430.24 = 257,924.90/x
  3. Step 3: Cross multiply
    472,784.90x = 652,430.24 × 257,924.90
  4. Step 4: Simplify right side
    472,784.90x = 168,278,004,408.98
  5. Step 5: Solve for x
    x = 168,278,004,408.98/472,784.90
  6. Step 6: Final answer
    x = 355,929.31

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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.