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Finding the Fourth Proportional to 472,358.10, 708,472.35 and 156,782.10

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Solution

The fourth proportional to 472,358.10, 708,472.35 and 156,782.10 is: 235,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,358.10 : 708,472.35 = 156,782.10 : x
  2. Step 2: Convert to fraction form
    472,358.10/708,472.35 = 156,782.10/x
  3. Step 3: Cross multiply
    472,358.10x = 708,472.35 × 156,782.10
  4. Step 4: Simplify right side
    472,358.10x = 111,075,782,824.94
  5. Step 5: Solve for x
    x = 111,075,782,824.94/472,358.10
  6. Step 6: Final answer
    x = 235,151.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.